University Calculus: Early Transcendentals (4th Edition)
4th Edition
ISBN: 9780134995540
Author: Joel R. Hass, Christopher E. Heil, Przemyslaw Bogacki, Maurice D. Weir, George B. Thomas Jr.
Publisher: PEARSON
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Textbook Question
Chapter 11.4, Problem 35E
Find the areas of the parallelograms whose vertices are given in Exercises 35−40.
35. A(1, 0), B(0, 1), C(-1, 0), D(0, -1)
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Chapter 11 Solutions
University Calculus: Early Transcendentals (4th Edition)
Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...
Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - In Exercises 1β16, give a geometric description of...Ch. 11.1 - Prob. 16ECh. 11.1 - In Exercises 17β24, describe the sets of points in...Ch. 11.1 - In Exercises 17β24, describe the sets of points in...Ch. 11.1 - In Exercises 17β24, describe the sets of points in...Ch. 11.1 - In Exercises 17β24, describe the sets of points in...Ch. 11.1 - In Exercises 17β24, describe the sets of points in...Ch. 11.1 - In Exercises 17β24, describe the sets of points in...Ch. 11.1 - In Exercises 17β24, describe the sets of points in...Ch. 11.1 - In Exercises 17β24, describe the sets of points in...Ch. 11.1 - In Exercises 25β30, find the distance between...Ch. 11.1 - In Exercises 25β30, find the distance between...Ch. 11.1 - In Exercises 25β30, find the distance between...Ch. 11.1 - Prob. 28ECh. 11.1 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Find the distance from the point (3, β4, 2) to...Ch. 11.1 - Find the distance from the point (β2, 1, 4) to...Ch. 11.1 - Find the distance from the point (4, 3, 0) to...Ch. 11.1 - Find the distance from the
x-axis to the plane z =...Ch. 11.1 - In Exercises 35β14, describe the given set with a...Ch. 11.1 - In Exercises 35β44, describe the given set with a...Ch. 11.1 - In Exercises 35β44, describe the given set with a...Ch. 11.1 - In Exercises 35β44, describe the given set with a...Ch. 11.1 - In Exercises 35β44, describe the given set with a...Ch. 11.1 - In Exercises 35β44, describe the given set with a...Ch. 11.1 - In Exercises 35β14, describe the given set with a...Ch. 11.1 - The set of points in space equidistant from the...Ch. 11.1 - In Exercises 35β44, describe the given set with a...Ch. 11.1 - Prob. 44ECh. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find equations for the sphere whose centers and...Ch. 11.1 - Find equations for the sphere whose centers and...Ch. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Find a formula for the distance from the point...Ch. 11.1 - Find a formula for the distance from the point...Ch. 11.1 - Find the perimeter of the triangle with vertices...Ch. 11.1 - Show that the point P(3, 1, 2) is equidistant from...Ch. 11.1 - Find an equation for the set of all points...Ch. 11.1 - Prob. 70ECh. 11.1 - Find the point on the sphere x2 + (y β 3)2 + (z +...Ch. 11.1 - Find the point equidistant from the points (0, 0,...Ch. 11.1 - Prob. 73ECh. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Find all points that simultaneously lie 3 units...Ch. 11.2 - In Exercises 1β8, let u = β©3, β2βͺ and v = β©β2, 5βͺ....Ch. 11.2 - In Exercises 1β8, let u = β©3, β2βͺ and v = β©β2, 5βͺ....Ch. 11.2 - In Exercises 1β8, let u = β©3, β2βͺ and v = β©β2, 5βͺ....Ch. 11.2 - Prob. 4ECh. 11.2 - In Exercises 1β8, let u = β©3, β2βͺ and v = β©β2, 5βͺ....Ch. 11.2 - Prob. 6ECh. 11.2 - In Exercises 1β8, let u = β©3, β2βͺ and v = β©β2, 5βͺ....Ch. 11.2 - In Exercises 1β8, let u = β©3, β2βͺ and v = β©β2, 5βͺ....Ch. 11.2 - In Exercises 9β16, find the component form of the...Ch. 11.2 - In Exercises 9β16, find the component form of the...Ch. 11.2 - In Exercises 9β16, find the component form of the...Ch. 11.2 - In Exercises 9β16, find the component form of the...Ch. 11.2 - The unit vector that makes an angle ΞΈ = 2Ο/3 with...Ch. 11.2 - The unit vector that makes an angle ΞΈ = β3Ο/4 with...Ch. 11.2 - The unit vector obtained by rotating the vector ...Ch. 11.2 - The unit vector obtained by rotating the vector ...Ch. 11.2 - In Exercises 17β22, express each vector in the...Ch. 11.2 - Prob. 18ECh. 11.2 - In Exercises 17β22, express each vector in the...Ch. 11.2 - In Exercises 17β22, express each vector in the...Ch. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - In Exercises 23 and 24, copy vectors u, v, and w...Ch. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - In Exercises 25β30, express each vector as a...Ch. 11.2 - Prob. 30ECh. 11.2 - Find the vectors whose lengths and directions are...Ch. 11.2 - Prob. 32ECh. 11.2 - Find a vector of magnitude 7 in the direction of v...Ch. 11.2 - Prob. 34ECh. 11.2 - In Exercises 35β38, find a. the direction of and...Ch. 11.2 - In Exercises 35β38, find a. the direction of and...Ch. 11.2 - In Exercises 35β38, find a. the direction of and...Ch. 11.2 - Prob. 38ECh. 11.2 - If = i + 4j β 2k and B is the point (5, 1, 3),...Ch. 11.2 - Prob. 40ECh. 11.2 - Linear combination Let u = 2i + j, v = i + j, and...Ch. 11.2 - Linear combination Let u = i β 2j, v = 2i + 3j,...Ch. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Prob. 45ECh. 11.2 - Prob. 46ECh. 11.2 - Consider a 100-N weight suspended by two wires as...Ch. 11.2 - Prob. 48ECh. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - LocationβA bird flies from its nest 5 km in the...Ch. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - Prob. 55ECh. 11.2 - Vectors are drawn from the center of a regular...Ch. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Consider a triangle whose vertices are A(2, β3,...Ch. 11.3 - Prob. 1ECh. 11.3 - 2. v = (3/5)i + (4/5)k, u = 5i + 12j
v Β· u, |v|,...Ch. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - 5. v = 5j β 3k, u = i + j + k
v Β· u, |v|, |u|
the...Ch. 11.3 - Prob. 6ECh. 11.3 - v = 5i + j,
v Β· u, | v |, | u |
the cosine of the...Ch. 11.3 -
v Β· u, | v |, | u |
the cosine of the angle...Ch. 11.3 - Find the angles between the vectors in Exercises...Ch. 11.3 - Find the angles between the vectors in Exercises...Ch. 11.3 - Find the angles between the vectors in Exercises...Ch. 11.3 - Find the angles between the vectors in Exercises...Ch. 11.3 - Prob. 13ECh. 11.3 - Rectangle Find the measures of the angles between...Ch. 11.3 - Direction angles and direction cosinesβThe...Ch. 11.3 - Water main construction A water main is to be...Ch. 11.3 - Prob. 17ECh. 11.3 - Prob. 18ECh. 11.3 - Sums and differencesβIn the accompanying figure,...Ch. 11.3 - Prob. 20ECh. 11.3 - Diagonals of a rhombusβShow that the diagonals of...Ch. 11.3 - Perpendicular diagonalsβShow that squares are the...Ch. 11.3 - When parallelograms are rectanglesβProve that a...Ch. 11.3 - Diagonal of parallelogramβShow that the indicated...Ch. 11.3 - Prob. 25ECh. 11.3 - Prob. 26ECh. 11.3 - CauchyβSchwarz inequalityβSince u Β· v = |u| |v|...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Cancelation in dot productsβIn real-number...Ch. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - SailboatβThe wind passing over a boatβs sail...Ch. 11.3 -
Use this fact and the results of Exercise 33 or...Ch. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - Prob. 52ECh. 11.4 - In Exercises 1β8, find the length and direction...Ch. 11.4 - In Exercises 1β8, find the length and direction...Ch. 11.4 - In Exercises 1β8, find the length and direction...Ch. 11.4 - Prob. 4ECh. 11.4 - In Exercises 1β8, find the length and direction...Ch. 11.4 - In Exercises 1β8, find the length and direction...Ch. 11.4 - Prob. 7ECh. 11.4 - In Exercises 1β8, find the length and direction...Ch. 11.4 - In Exercises 9β14, sketch the coordinate axes and...Ch. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - In Exercises 9β14, sketch the coordinate axes and...Ch. 11.4 - In Exercises 9β14, sketch the coordinate axes and...Ch. 11.4 - In Exercises 15β18,
Find the area of the triangle...Ch. 11.4 - In Exercises 15β18,
Find the area of the triangle...Ch. 11.4 - In Exercises 15β18,
Find the area of the triangle...Ch. 11.4 - In Exercises 15β18,
Find the area of the triangle...Ch. 11.4 - In Exercises 19β22, verify that (u Γ v) Β· w = (v Γ...Ch. 11.4 - In Exercises 19β22, verify that (u Γ v) Β· w = (v Γ...Ch. 11.4 - In Exercises 19β22, verify that (u Γ v) Β· w = (v Γ...Ch. 11.4 - In Exercises 19β22, verify that (u Γ v) Β· w = (v Γ...Ch. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Which of the following are always true, and which...Ch. 11.4 - Which of the following are always true, and which...Ch. 11.4 - Given nonzero vectors u, v, and w, use dot product...Ch. 11.4 - Compute (i Γ j) Γ j and i Γ (j Γ j). What can you...Ch. 11.4 - Let u, v, and w be vectors. Which of the following...Ch. 11.4 - Prob. 32ECh. 11.4 - Cancelation in cross productsβIf u Γ v = u Γ w and...Ch. 11.4 - Double cancelationβIf u β 0 and if u Γ v = u Γ w...Ch. 11.4 - Find the areas of the parallelograms whose...Ch. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Find the areas of the parallelograms whose...Ch. 11.4 - Find the areas of the parallelograms whose...Ch. 11.4 - Find the areas of the parallelograms whose...Ch. 11.4 - Find the areas of the triangles whose vertices are...Ch. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Find the areas of the triangles whose vertices are...Ch. 11.4 - Prob. 46ECh. 11.4 - Find the areas of the triangles whose vertices are...Ch. 11.4 - Find the volume of a parallelepiped with one of...Ch. 11.4 - Triangle areaβFind a 2 Γ 2 determinant formula for...Ch. 11.4 - Triangle areaβFind a concise 3 Γ 3 determinant...Ch. 11.4 - Using the methods of Section 6.1, where volume is...Ch. 11.4 - Prob. 52ECh. 11.4 - Using the methods of Section 6.1, where volume is...Ch. 11.4 - Using the methods of Section 6.1, where volume is...Ch. 11.4 - In Exercises 55β57, determine whether the given...Ch. 11.4 - Prob. 56ECh. 11.4 - Prob. 57ECh. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Prob. 7ECh. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Prob. 14ECh. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Prob. 16ECh. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Prob. 20ECh. 11.5 - Find equations for the planes in Exercises...Ch. 11.5 - Find equations for the planes in Exercises...Ch. 11.5 - Planes
Find equations for the planes in Exercises...Ch. 11.5 - Planes
Find equations for the planes in Exercises...Ch. 11.5 - Find equations for the planes in Exercises...Ch. 11.5 - Find equations for the planes in Exercises...Ch. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - In Exercises 29 and 30, find the plane containing...Ch. 11.5 - In Exercises 29 and 30, find the plane containing...Ch. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - In Exercises 33β38, find the distance from the...Ch. 11.5 - In Exercises 33β38, find the distance from the...Ch. 11.5 - In Exercises 33β38, find the distance from the...Ch. 11.5 - In Exercises 33β38, find the distance from the...Ch. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - In Exercises 39β44, find the distance from the...Ch. 11.5 - In Exercises 39β44, find the distance from the...Ch. 11.5 - In Exercises 39β44, find the distance from the...Ch. 11.5 - In Exercises 39β44, find the distance from the...Ch. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Find the distance from the plane x + 2y + 6z = 1...Ch. 11.5 - Find the distance from the line x = 2 + t, y = 1 +...Ch. 11.5 - Find the angles between the planes in Exercises 47...Ch. 11.5 - Prob. 48ECh. 11.5 - Find the acute angles between the intersecting...Ch. 11.5 - Prob. 50ECh. 11.5 - Find the acute angles between the lines and planes...Ch. 11.5 - Prob. 52ECh. 11.5 - Prob. 53ECh. 11.5 - Prob. 54ECh. 11.5 - Prob. 55ECh. 11.5 - Prob. 56ECh. 11.5 - In Exercises 57β60, find the point in which the...Ch. 11.5 - In Exercises 57β60, find the point in which the...Ch. 11.5 - In Exercises 57β60, find the point in which the...Ch. 11.5 - Prob. 60ECh. 11.5 - Find parametrizations for the lines in which the...Ch. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Given two lines in space, either they are...Ch. 11.5 - Given two lines in space, either they are...Ch. 11.5 - Use Equations (3) to generate a parametrization of...Ch. 11.5 - Use the component form to generate an equation for...Ch. 11.5 - Find the points in which the line x = 1 + 2t, y =...Ch. 11.5 - Find equations for the line in the plane z = 3...Ch. 11.5 - Prob. 71ECh. 11.5 - How can you tell when two planes A1x + B1y + C1z =...Ch. 11.5 - Find two different planes whose intersection is...Ch. 11.5 - Find a plane through the origin that is...Ch. 11.5 - The graph of is a plane for any nonzero numbers...Ch. 11.5 - Prob. 76ECh. 11.5 - Prob. 77ECh. 11.5 - Prob. 78ECh. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - In Exercises 1β12, match the equation with the...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises 13β44.
Ch. 11.6 - Prob. 22ECh. 11.6 - Prob. 23ECh. 11.6 - Prob. 24ECh. 11.6 - Drawing
Sketch the surfaces in Exercises 13β44.
Ch. 11.6 - Prob. 26ECh. 11.6 - Prob. 27ECh. 11.6 - Prob. 28ECh. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Prob. 30ECh. 11.6 - Prob. 31ECh. 11.6 - Prob. 32ECh. 11.6 - Prob. 33ECh. 11.6 - Prob. 34ECh. 11.6 - Prob. 35ECh. 11.6 - Prob. 36ECh. 11.6 - Prob. 37ECh. 11.6 - Prob. 38ECh. 11.6 - Prob. 39ECh. 11.6 - Prob. 40ECh. 11.6 - Prob. 41ECh. 11.6 - Prob. 42ECh. 11.6 - Prob. 43ECh. 11.6 - Prob. 44ECh. 11.6 - Express the area A of the cross-section cut from...Ch. 11.6 - Prob. 46ECh. 11.6 - Prob. 47ECh. 11.6 - Prob. 48ECh. 11.6 - Prob. 49ECh. 11.6 - Prob. 50ECh. 11.6 - Prob. 51ECh. 11.6 - Prob. 52ECh. 11 - Prob. 1GYRCh. 11 - How are vectors added and subtracted...Ch. 11 - Prob. 3GYRCh. 11 - Prob. 4GYRCh. 11 - Define the dot product (scalar product) of two...Ch. 11 - Prob. 6GYRCh. 11 - Prob. 7GYRCh. 11 - Prob. 8GYRCh. 11 - Prob. 9GYRCh. 11 - Prob. 10GYRCh. 11 - Prob. 11GYRCh. 11 - Prob. 12GYRCh. 11 - What are box products? What significance do they...Ch. 11 - Prob. 14GYRCh. 11 - Prob. 15GYRCh. 11 - Prob. 16GYRCh. 11 - Prob. 17GYRCh. 11 - In Exercises 1β4, let u = β¨β3, 4β© and v = β¨2, β5β©....Ch. 11 - Prob. 2PECh. 11 - Prob. 3PECh. 11 - Prob. 4PECh. 11 - Prob. 5PECh. 11 - In Exercises 5-8, find the component form of the...Ch. 11 - The vector 2 units long in the direction 4i β j
Ch. 11 - The vector 5 units long in the direction opposite...Ch. 11 - Express the vectors in Exercises 9β12 in terms of...Ch. 11 - Prob. 10PECh. 11 - Prob. 11PECh. 11 - Prob. 12PECh. 11 - Prob. 13PECh. 11 - Prob. 14PECh. 11 - Prob. 15PECh. 11 - Prob. 16PECh. 11 - In Exercises 17 and 18, find |v|, |u|, , the angle...Ch. 11 - Prob. 18PECh. 11 - In Exercises 19 and 20, find projv u.
v = 2i + j β...Ch. 11 - Prob. 20PECh. 11 - In Exercises 21 and 22, draw coordinate axes and...Ch. 11 - Prob. 22PECh. 11 - Prob. 23PECh. 11 - Prob. 24PECh. 11 - In Exercises 25 and 26, find (a) the area of the...Ch. 11 - Prob. 26PECh. 11 - Suppose that n is normal to a plane and that v is...Ch. 11 - Find a vector in the plane parallel to the line ax...Ch. 11 - In Exercises 29 and 30, find the distance from the...Ch. 11 - Prob. 30PECh. 11 - Prob. 31PECh. 11 - Parametrize the line segment joining the points...Ch. 11 - In Exercises 33 and 34, find the distance from the...Ch. 11 - Prob. 34PECh. 11 - Prob. 35PECh. 11 - Prob. 36PECh. 11 - In Exercises 37 and 38, find an equation for the...Ch. 11 - Prob. 38PECh. 11 - Prob. 39PECh. 11 - Prob. 40PECh. 11 - Find the acute angle between the planes x = 7 and...Ch. 11 - Prob. 42PECh. 11 - Find parametric equations for the line in which...Ch. 11 - Prob. 44PECh. 11 - Prob. 45PECh. 11 - Prob. 46PECh. 11 - Prob. 47PECh. 11 - Prob. 48PECh. 11 - Prob. 49PECh. 11 - Prob. 50PECh. 11 - Prob. 51PECh. 11 - Prob. 52PECh. 11 - Prob. 53PECh. 11 - Prob. 54PECh. 11 - Find the point in which the line through P(3, 2,...Ch. 11 - Prob. 56PECh. 11 - Prob. 57PECh. 11 - Prob. 58PECh. 11 - Prob. 59PECh. 11 - Is the line related in any way to the plane ?...Ch. 11 - Which of the following are equations for the plane...Ch. 11 - The parallelogram shown here has vertices at A(2,...Ch. 11 - Prob. 63PECh. 11 - Prob. 64PECh. 11 - Prob. 65PECh. 11 - Prob. 66PECh. 11 - Prob. 67PECh. 11 - Prob. 68PECh. 11 - Prob. 69PECh. 11 - Prob. 70PECh. 11 - Prob. 71PECh. 11 - Prob. 72PECh. 11 - Prob. 73PECh. 11 - Prob. 74PECh. 11 - Prob. 75PECh. 11 - Prob. 76PECh. 11 - Prob. 1AAECh. 11 - Prob. 2AAECh. 11 - Prob. 3AAECh. 11 - Prob. 4AAECh. 11 - Prob. 5AAECh. 11 - Prob. 6AAECh. 11 - Prob. 7AAECh. 11 - Prob. 8AAECh. 11 - Prob. 9AAECh. 11 - Prob. 10AAECh. 11 - Prob. 11AAECh. 11 - Prob. 12AAECh. 11 - Prob. 13AAECh. 11 - Prob. 14AAECh. 11 - Prob. 15AAECh. 11 - Prob. 16AAECh. 11 - Prob. 17AAECh. 11 - Prob. 18AAECh. 11 - Prob. 19AAECh. 11 - By forming the cross product of two appropriate...Ch. 11 - Prob. 21AAECh. 11 - Prob. 22AAECh. 11 - Prob. 23AAECh. 11 - Prob. 24AAECh. 11 - Prob. 25AAE
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