Which of the following sets spans R°? None of these {(-3,0,2)} O {(-3,0,2),(5,1,0),(0,1,1)} {(-3,0,2),(0,0,0)}

Q: - aris and Origin. Which of the following equation is symmetric with respect to -aris, y O 3z2 - 21y…

A: Test for symmetry:  In an equation, replace y with (-y), simplify the equation. If the resulting…

Q: could someone help me not sure what i am doing wrong

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Q: (b) Use the formula in part (a) to find the distance from the point P(1, 1, 1) to the line through…

A: Given :- Find the distance from the point P1,1,1 to the line through Q0,8,7 and R-1,2,6.

Q: points C, D, and E are collinear on CE, and CD:DE = 3/5. C is located at (1,8), D is located at…

A: Given points C, D, and E are collinear on CE, and CD:DE = 3/5. C is located at (1,8), D is located…

Q: Let R = (1, –2). Find the point P such that PR has components (2, -2). P =

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Q: Find the distance from (-5, 9, –12) to each of the following: 1. The xy-plane. Answer: 2. The…

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Q: Find the angle between m and n if: and n = b m = 2j – k and n =i+ 2k a m = -1 2

A: m=2-1-1  &  n=-132 Now, m·n=2-1-1·-132=2-1+-13+-12=-2-3-2=-7 & m=22+-12+-12=6 n=-12+32+22=14…

Q: 14. If Q is the midpoint of PR, find the coordinates of R if P(11,-2) and Q(4, 3).

A: Use mid point formula

Q: The distance between the points (-3,-5) and (2,7) on the coordinate plane is given as 52 +t2. What…

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Q: Which of the following points is collinear? a. (1, 2), (5, 3), (1,-2), and (2, 0) b. (0, 4), (1, 3),…

A: Solved below

Q: 1. Solve for the interior angles (in degree) of H and I of the triangle defined by the three points…

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Q: In each of the following sketches, determine y and z in terms of x. Give reasons. (f) (1) O is the…

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Q: Let u = (– 2, 4, 0) and v = (– 1,0, – 3). Find the angle 0 <0 < 180° (in degrees) between u and v.…

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Q: Parallelogram WXYZ and diagonal WY are shown in the diagram below Y Which of the following…

A: For the solution follow the next step.

Q: nd the direction cosines of u and demonstrate that the sum of the squares of the direction cosines…

A: Sum of square of direction cosine is equal to 1

Q: Points C, D, and E are collinear on CE, and CD: DE -. Ca located at (1, 8), Da located at (4, 5),…

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Q: Let a = (3, - 5) and b = (-3, k). %3D Find k so that a and b will be orthogonal (form a 90 degree…

A: As we know that the angle between two vectors a and b is given by, cosθ=a.b|a|b Where a and b are…

Q: Fow what value of K,the point (k,k) ,(2,3) and (4,-1) are collinear

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Q: A, B, and C are collinear points: Cis the midpoint of AB. If AC = x + 11 and CB = 2x - 5, find AC.

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: 5. In each case, sketch the set of points determined by the given condition: (a) |z -1+ i| = 1; (b)…

A: Think of it this way |Z +a + bi| = 1 is the unit circle                                |Z +a + bi|…

Q: 6) For what value(s) of k, would the following two planes make an angle of 60°. 11: x+y+ kz = 6 and…

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Q: 2) Determine the value of a so that A = 2i + aj + k and B = 4i – 2j - 2k are perpendicular.

A: This question is based on dot product application.

Q: Let à = and b = . Find k so that a and b will be orthogonal (form a 90 degree angle) k-

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Q: A, B, and C are collinear points: C is the midpoint of AB.   If AC = 5x - 6 and  CB = 2x, find AB.

A: Collinear points are the points that are on the same line. Midpoint is a point that is exactly…

Q: 3. Find the value(s) of a for which ở = (-1, 2a – 1,3) and w = (2,2a + 3,–6) are parallel.

A: Two vectors  are parallel  is their cross product  is zero. So calculate  cross product  in the…

Q: Q 1 Find all points in the first quadrant where r = 2sin(30) and = 1 intersect. r=2sin(30) +

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Q: 2) sin(r) dA, R is the triangle with vertices (0,0), (2,0), and (2, 4). R.

A: First finding the line equation And drow the region in figure

Q: Determine the exact coordinates of the point C that lies on AB such that: 124 AC 10- a) АВ…

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Q: If B is the midpoint of AC, which of the following must be true? I. AB+ BC = AC II. 2ВС - АС III. AB…

A: The given question is:

Q: Name three points that are collinear. VR O points T, S, and R O points T, Q, and R points T, Q, and…

A: GIVEN  THREE POINTS ARE COLLIN EAR.

Q: 0, A, B and C are fixed points such that OA = 5p – 3q OB = 11p oć = 13p + q (a) (i) Show that the…

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Q: Are these points collinear? а) А(-2, 5), В(0, 2), and C(4, — 4) b) D(-1, — 1), Е(2, — 2), and F(5,…

A: (a)       A-2,5, B0,2, C4,-4      AB=-2-02+5-32      =4+4      =22BC=0-42+2--42      =16+36…

Q: 2.) For the points P(-4,3) and Q(2,-5), find the distance d(P,Q) and the coordinates of the Midpoint…

A: Given, P-4, 3Q2,-5

Q: 1. Given three points Q(-3, 4), E(-1, 3) and D(1,2), find QE, QD, and ED and show that they…

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Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (5,…

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Q: Let à = and b= . Find k so that a and b will be orthogonal (form a 90 degree angle). k=

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Q: If P(t) has coordinates (0.707,0.707), find the coordinates of

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Q: A, B, and C are collinear points. Bis between A and C. AB = 5x + 8 BC = 6x - 1 %3D AC = 12x - 11…

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Q: Use the figure below to find all angles between 0 and 2n satisfying the given condition. (Enter your…

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Q: A paritcle is at the point P1 (3,7) and is displaced to the point P2 (x,y) , where d= 10m and the…

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Q: Determine the direction cosines and direction angles for Ā = Given Ü = 7î - j + k and W = -2î – 5ĵ +…

A: Note: ProjW→U→ and ProjU→W→ are mistakenly given as ProjW→V→ and ProjV→W→.  Given: A→=4,-3,1.…

Q: Q2 Find the angle between the m If Ā =2i-10j - 11k and À xB , CẦXB) Ä 3 = 2i +2j+ k

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Q: 7. Use the distance formula to determine if points P, Q, and R are collinear. a. P(-1,4), Q(-2, 3),…

A: To determine if points P, Q, and R are collinear a P-1,4, Q-2,3, R-4,1b P-2,1, Q3,4, R12,10c P-2,-3,…

Q: Qe Find the IF Ā=2i -10j - k , B=2i+2j+ k and ÀxB , CAXB) Ã angle between them B = 2i +2j+ k

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Q: B) Find the root and the height of (T, vo) where A = {1,2, 3, 4, 5, 6} and T = {(1,4), (3, 2), (2,…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 3) Name three collinear points. b. A, B, and C d. A, D, and C a E, D, and A c. E, F, and C D

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Q: In the problem we use distance formula. Show that the points A(-1,3), B(3,11), and C(5,15) are…

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Q: (i) Find the direction cosines for v = 2, 3, 4 .  (ii) Verify that the sum of their squares equals…

A: We know that If the vector is xi+yj+zk=(x,y,z) and  r=length of x,y,z =√(x2+y2+z2) Then the…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.