et S be the subspace of IR° spanned by u and v. Find the closest vector p in S to the vector w. -2 7 -3 v =|-1 w = -6- 1 -3 10 = 10

Q: Define vectors v = 3i - 2j and w = -2i + 4j. Blank 1: Find w - v. Blank 2: Find ||2v+w|l.

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Q: Find the vector v = PQ. P = (4,3, 6) Q = (9,5, 3) V =

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Q: 1 Y

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Q: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

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Q: A vector u is a positive multiple of . Vector v = with a , what will be the signs of d, e, and f?…

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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: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: Find the vector v = PQ. %3D P = (2,3,4) Q = (2,5, 10) V =

A: The vector v is given by v=<q1-p1,q2-p2,q3-p3> therefore   if P=(2,3,4) and Q=(2,5,10) then

Q: Find Vectors and Perform Vector Operations in R³ Let a = (0, – 5, 5) and 6 = (4, 2, — 5). Find – 2ā…

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Q: Determine all vectors v that are orthogonal to u. (Set v, = t and v3 = s and solve for v2 in terms…

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Q: Find x so that the vectors u and v below are perpendicular. 0 -7 u= 7 44 V= x -4 -7 x=0

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Q: Find a unit vector v = (v1, v2, Vz3) that is orthogonal to both vectors ā = (1, 2, 0) and b = (2, 1,…

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Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b