S be the set of all vectors of the form u and v such that S = span {u, v}. 4s + 5t -5s + 5t s + 2t -3s + 3t

Q: 31. The vector perpendici:!at to both 3i –-6j – 4k and -3i + 2j + 2k is A A -4i + 6j + 12k B - 4i +…

A: Cross product

Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: Q12: Let vector v = (1, 3) and vector w=(-4,-2). Write vector v as the sum of two orthogonal…

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Q: Do question one only

A: (a)…

Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3, 2, 1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: Determine whether the vectors v₁ = (1, 2), v₂ = (-1,0) and v3 = (0, 1) are linearly independent; if…

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Q: |3s + 3t Let W be the set of all vectors of the form 3s - 4t. Find vectors u and v in R³ such that…

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Q: Find all vectors u such that ux(1,1,1)=(8,-5,-3).

A:

Q: S = {(2, –1, 3), (5, 0, 4)} (a) z = (11, -8, 20) z = (6) v=(15, -) (b) 4 v = (c) w = (4, -7, 13) ]…

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Q: f possible express the vector v as a linear combination of 1, V2, and V3. b) v = (0, 0, -1), V₁ =…

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Q: ? (2,3), (0,0) }

A: Let S=2, 3, 0, 0. We need to find whether the set S spans a line or all of ℝ2.

Q: ste each vector as a linear combination of the vectors in S. (Use 51 and 52, respectively, for the…

A: Note : " As per guidelines we will solve first three subparts. If you want any specific subpart to…

Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: If V1 = [1 4 0] and V2 = [ -2 0 8], then determine all possible 1x3 row vectors V3 such that the set…

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