1. State whether or not the given vectore are linearly independent u = i tj. 1, v = 21 - 6jt, w = -it; r = 4k w are linearly independent and express 2. Show that u, v, and r in terms of u, v, and w. u = 2; j +k, v = -i tj-ak, W- ai-jtak, r = 31 -j tak 3. Show that if u and v are linearly dependent, then uxv=O

Q: show that the vectors: 2,3), II

A: To prove that the vectors:     v1=(1, 2, 3), v2=(-2, 1, 1), and v3=8, 6, 10 in ℝ3  are linear…

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A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

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Q: 11. Given vector u = (2, a, 3), vector v = (1, -3, b) and u x v = (13, -5, -7). Find a and b.

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A: Given vectors are P-1,-4,6 and Q1,3,-6.

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A: We use definition of linearly independent vectors.

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A: Given that the vectors u=1,2,3v=2,2,-1w=4,0,-4    .

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A: To determine by inspection the linearly independent vectors.a -812-4, 2-3-1, 000b 51, 28c 4-26, 6-39…

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A: see below the answers

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