For each of the following vectors v, find the magnitude |ü] and the normalised vector (i) = (3, 4) 10| = and %3D %3D (ii) i = (3,0, –4) 10| = and (ii) ㅎ =D (1,3) lū| = and (iv) i = (0, -3) and (v) i = (1,0, 3, 6) and %3D

Q: Let B be a subset of R4. Which of the following statements are correct? If |B| = 5, then B spans R4…

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Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b.…

A: This question can be solved using the concept of unit vector and linear combination of vectors.

Q: Order the following vectors by increasing magnitude. (3,4) (0,-6) (-2,4)

A: Given vector is (3,4) , (0,-6) and (-2, 4). We have to order the vectors by increasing the…

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), u = (5,2,…

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Q: For what values of h the vectors -3.72%3D linearly independent are

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Q: If vector A = [4/1] and vector B = [-3/2] find A-B

A: Here two vectors A and B are given we have to find A-B.

Q: When analyzing the vectorĀ = 2i – j + 3k To the sum two vectors, the first is parallel to the vector…

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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: 9. Given that u = (1,5) and v = (-2,3), determine the following %3D -3u – 4v =

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Q: I'm still confused on the position vector. The question is Let r(t) be the position vector…

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Q: Let = [-3 1] and = [1 2]. Find the following vectors. [ ]]. ]]. u = 7y= = [1 w = 2x + 7y = [ v=27=…

A: Given: Let x→=[-3  1] and y→=[1  2].

Q: Consider the following points. A(3, 1, 1), B(4, -4, 6), C(7, -2, 0), D(6, 3, −5) Let u = AB, VAC,…

A: Consider the following points.Let , , and . Find each of these vectors.Find the scalar triple…

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

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Q: Given the points A: (-5,4,0) and B: (2,-2,4), find the vector u = AB ú=< -3 X 2 X 4

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Q: Find the difference vector of the following: and =< ♦

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Q: -2 -1 70 50 40 30 20 10 -10 -20 -30 -40 -50 -60 -70 an TO ● 2 3 6 5 10 7 6 What is the 1st term of…

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Q: Find a unit vector with positive first coordinate that is orthogonal to the plane through the points…

A: Given that the points P-2,-3,-1 Q3,2,4andR3,2,7  .

Q: 1. Find A-C|(B – D) using the following vectors: A= C= D=

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Q: 2.30 Let r denote a position vector r = x= xê, (r² vector. Use index notation to show that: (a) ²…

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Q: Let X=(1,-3)t be the transpose of vector (1,-3). If you rotate X by angle of π/3 what are the…

A: The transpose component is X=1, -3t

Q: Tetfor the unit vector and est. or thogonality R=(2.-4.5,-2), 3=(1,-1.-2r2) W =(-2,4,2,-5)

A: Given vectors are ,                                     u = ( 2,-4,5,-2) ,  v = (1,-1,-2,-2) ,  w =(…