Given the two vectors: =( 2 3 -1 4 5) = ( 4 -2 7 3 -1) - 1 y = Determine the following: a. The inner product of x and y is b. The norm-square of vector x is c. The norm of the unit vector of y is d. The norm of the unit vector of x is

Q: Consider the two vectors -4 u = 6 and v = -5 Calculate u · v and u x v and enter these in the box…

A: topic- vectors

Q: The vector a has a magnitude of 9 units. Its z-component is 3, and its z- What is its z-component?…

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Q: 1. Add the following three vectors to find the resultant vector, R: šj = (-2,0)m, .ž= (0,–5,)m, .řz…

A: 1.   x1¯  =  (-2,0)mx2¯  =  ( 0, -5)mx3¯   =  (3,0)m Now , In the East - west direction ,  we deal…

Q: Given the following vectors, calculate −8u+7v U=(-3,-1),V=(7,-1)

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Q: For the given vectors a and b, find the cross product a x b. (2, 0, -3), b = (2, 1, 0) a x b = %3D

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Q: What value of a will make the vectors (-2, x, 1) and (2, –1, 1) orthogonal? Select one: O a. 3 O b.…

A: For orthogonal, dot product of two vectors are zero.

Q: Find the cross product of the vectors ä = and b = .

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Q: Find the unit vector parallel to the sum of the vectors a [2, 4, -5], b = [1, 2, 3]. a.

A: Two given vector are ; a= 2i + 4j - 5k b= 1i+ 2j + 3k Resulting of vector a  & vector b  R= a+ b…

Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

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Q: Given vectors u = <-3, -7> and v = <-1, 5>, find the resultant vector  u + v.

A: The objective of this question is to find the resultant vector when two given vectors are added…

Q: Given 2 vectors å = (-2,0,–1), b = (-1,3,1). Which vector is perpendicula å + b and å – b. - O…

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Q: Given vectors u = <-3, -7> and v = <-1, 5>, find the resultant vector  u + v.

A: The objective of this question is to find the resultant vector when two given vectors are added…

Q: Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your…

A: We have to find length of each vectors first.

Q: For the vectors u = 3ỉ − 8j + 2k and - v = 4i - 2j – 4k we have - ü × v = 28i + 20j +38k. Select…

A: The given vectors

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: Given the vectors A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. Determine the unit vector with…

A: This is a problem of vector Algebra.

Q: Find a vector v such that ||v||=5, and v is in the opposite direction of -5i+7j .

A: We have a vector -5i+7j Let u→=-5i+7j First, we find a unit vector in the direction of u→=-5i+7j The…

Q: Let u = (– 3, 5, 3), v = (4, –- 5, – 2), and w = (0, 5, – 3). Assume · always refers to the dot…

A: Given: u=<-3, 5, 3>, v=<4, -5, -2> and w=<0, 5, -3>

Q: The vectors and are orthogonal. True O False

A: Let a→=-3, 2b→=4, 6

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

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