Find the cross product a × b. a = i + 3j − 4k,    b = −i + 5k   Verify that it is orthogonal to both a and b. (a × b) · a  =    (a × b) · b  =

Q: •ff yo y(x - y)dxdy over the parallelogram with corners (0,0), (3,3), (7,3), and (4,0) in two ways:…

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Q: Calculate the cross product assuming that = (-2, -8, -2) u x w = (4u − w) × w = (100)

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Q: Find the distance between the planes 5x- 3y +z = 6 and 5x-3y +z = -7. Need Help? Read It

A: Distance between parallel planes

Q: Determine whether the planes are parallel, perpendicular, or neither. 3x + 12y – 9z = 1, -27x + 54y…

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Q: – 2x + 4y -dA, where R is the parallelogram enclosed by the lines 5y Find - r - R - 2x + 4y = 0, –…

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Q: Find the (a) dot product A B and cross product B x -A if A = 12 in directed at 33' and B = 16 in,…

A: Here we use the dot and cross products formula in terms of length and angel.

Q: Q2: -A meter stick in the x'y' plane makes angles of 45° with the x' and y' axes. O' and the meter…

A: The angle that the metre stick make with x axis is

Q: If å = 4i + 2j + 4k ,b = -2i + 4j - 3k and č = 4i + 5j. If å + xb is perpendicular to č then find x.…

A: The given vectors are as follows. a→=4i+2j+4k b→=-2i+4j-3kc→=4i+5j Evaluate a→+xb→ as follows.…

Q: Find the value(s) of a making i = 2ai – 3j parallel to u = a? i+3j. %3D a = (If there is more than…

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Q: ؟ - ؟ - A = If A is orthogonal, what must x equal? Answer: √2 ال است - اة - أي اه اه الله √√x √3

A: We state the definition of an orthogonal matrix and then try to solve this problem.

Q: Find the cross product u x 7 where u = 2i -3j +k and = (7, - 3, 4). ü xü= Check Answer

A: We have u→=2i-3j+kor u→=2, -3, 1Alsov→=7, -3, 4

Q: Find the cross product (i+ e'j +e*k) ) × (2i + e'j – e-'k).

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Q: 5. In the parallelogram RSTU, the diagonals RT and SU intersect at point W. T. If RW: 2x +2 and RT =…

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Q: 3. If å = 4i + 2j + 4k ,B = -2i + 4j – 3k and ĉ = 4i + 5j. If å + xb is perpendicular to ĉ then find…

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Q: Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

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Q: Find the cross product a × b. a = (t, t2, t3),      b = (1, 6t, 8t^2)

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Q: Use the right-hand rule and the properties of the cross product to make the following calculations.…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 7 4x 20y – 4z =…

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Q: The cross product of A = 4i + 2j with B is zero. The dot product of A •B = 30. Find B.

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Q: If v = 5i - 2j and w = -3i + 4j, find the dot product v.v

A: Given that : The vector v = 5i - 2j and w = -3i + 4j .

Q: Find the cross product a × b. a = i + et j + e−t k,      b = 7i + et j − e−t k

A: Ans:  We have to find the cross product a→×b→         a→=i+etj+e-tk; b→=7i+etj-e-tk

Q: Determine whether the planes are parallel, perpendicular, or neither. 6x + 24y - 18z = 1, -12x + 24y…

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Q: Calculate the cross product assuming that u x w = (-7, 1, -6) (2u + 4w) x w = = (

A: To calculate the cross product of 2u+4w×w, assuming that u×w=-7, 1, -6.

Q: à = (2, -1) and b = (1,3). Represent a + b by using the parallelogram method.

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and - 10x – 5y – 5z – 11 = 0. - NOTE:…

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Q: Find the cross product á xb and verify that it is orthogonal to both á and b for á = i+ 33 – 2k and…

A: Given:-a→=i→+3j→-2k→b→=-i→+5k→To find: cross product a→×b→

Q: Find the distance between the given parallel planes. 22 = 4y - 2x, 3z = 2 - 3x + 6y Need Help? Read…

A: The distance between the two parallel lines a1x+b1y+c1z=d1 and a1x+b1y+c1z=d2 is given by the…

Q: Q2. Find the vertices of unit square after shearing it along y-axis by a factor 2 and then…

A: Consider the unit square with vertices O0, 0, A1, 0, B1,1, C0, 1 as shown below:

Q: 20. Determine B such that 3x + 2y - 7 = 0 is perpendicular to 2x - By + 2 = 0 A. 5 B. 4 C. 3 D. 2

A: Topic = Geometry

Q: Find the angle between A-10, + 2a, and B--4a, + 0.5a, using both the dot product and the cross…

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Q: Find the cross product a × b. a = j + 6k,    b = 3i − j + 3k

A: Solving the problem by obtaining the cross product of the vector.

Q: [o 2B y Determine the value of a,ß,y when | a B -y is orthogonal. La -B y

A: If matrix A is orthogonal then .

Q: Calculate the cross product assuming that u X w = (-2, -3, -2) (2u + 4w) × w = {

A: Given u × w = -2, -3, -2

Q: If v = 5i - 2j and w = -3i + 4j, find the dot product v.w

A: Here given as v=5i-2j and w=-3i+4j

Q: 4. Let i = tỉ – j + 5k, and let ö = -ỉ + tỷ – 5k. %3D (a) For what, if any, values of t are i and ở…

A: Topic:- vector

Q: Use the geometric definition of the cross product and the properties of the cross product to make…

A: given,

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: This question is based on vectors.

Q: 4-Sy. dA, where R is the parallelogram enclosed by the lines x- Sy - 0, x- Sy 9, 4x-y 1, and x- y=7…

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Q: Use the geometric definition of the cross product and the properties of the cross product to make…

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Q: Use the geometric definition of the cross product and the properties of the cross product to make…

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Q: 4x бу Find dA, where R is the parallelogram enclosed by the lines 6x + 2y 0, 4x R 4х — бу - 6y = 4,…

A: Evaluate the double integral by change of variables

Q: 2x + 3y Find -dA, where R is the parallelogram enclosed by the lines 4x – 4y -- 2x + 3y = 0, 2x + 3y…

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Q: * ?Find the cross product A XB when A = 2i + 3j and B = -3i + 2j

A: The cross product of two vectors A→ and B→ in 2 coordinates is given by A→×B→=AxAyBxBy k^Where…

Q: Consider AB in the coordinate plane below. 10 7 5 4 3. 2 A B 6 7 89 10 10-9 -8 -7 -6 -5 -4 -3 -2 -1…

A: i am going to solve the given problem by using some simple geometry to get the required result.

Q: If v=4i -Ĵ+3k and w= -î - 2 + 5k, then find the dot product, .W 11 13 10 11 8

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Q: Find the cross product u x 7 where u úxv- 71 +5j +k and 7 (5,- 4,7).

A: This question can be solved using the concept of cross product of vectors.

Q: The dot product of u = 2i and v = -1li – 6j is 22. Select one: True False

A: NOTE: Refresh your page if you can't see any equations. . here we have  .

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 2 2x - 10y – 2z =…

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