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: (a) Let v, = and V3 = 2. -9 - Express v as a linear combination of those vectors. 8. Let v = 8 V =…

A: Here we have to find the vector.

Q: calculate v × w.v = v = (1, 1, 0), w = (0, 1, 1)

A: Given v=<1,1,0> and w=<0,1,1> v×w=i→j→k→110011         =i→(1-0)-j→(1-0)+k→(1-0)…

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

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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: what are the endpoints of vector v - u?

A: v = (-6,-7)u = (1,-3)

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

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

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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: 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 =(…