Let u = Compute the following: ū• v = (1, −5, −1) and v = (-5,2,0). v.u ||ū|| ² - 3 (u.v) (-3ū) v = · (–3v) = = (u • v) v = =

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Q: Let u = (5,-5, -7) and 7 = (-6, 1, 2). Compute the following: úxv= v X ū= úxu 3 (u xv) = ū × (30) =…

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Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

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Q: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

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Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2,-5, -3) (a) ux v (b) vxu (c) vxv

A: given vectors

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Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=<3, -4, -10> andv→=<-7, -2,  0>

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Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

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Q: Suppose that u · (v × w) = 3. Find (a) u · (w × v) (b) (v × w) · u (c) w · (u × v) (d) v · (u × w)…

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Q: Let u = = (–3, 3, 5) and v = (−6, −4, −7). Compute the following: ū X x v = v × x ū x ū ū=

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A: Given u→=-7, -2 and v→=-7, -1

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Q: Let u = (2, 4) and v = (1, 12) and w=(−6, −4). Find: 12. (v.w)-(v.u) 11. 3(u-w)u 13. 2-u 14.…

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