Find u × v and show that it is orthogonal to both u and v.u = −5i + 19j − 12k, v = 5i − 19j + 12k

Q: Find u x v, v x u, and v x v. U = 4i + 8k v = 3i + 9j - 6k. (a) u x V (b) V xu

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Q: Find the cross product a × b. a = j + 9k,    b = 4i − j + 2k       Verify that it is orthogonal…

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Q: Find (a) u x v, (b) v x u, and (c) v x v.

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Q: Given u = 4i - 7j and v=-6i+ 9j, what is u - v?

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Q: Determine whether v and w are orthogonal given v=-5i+2j and w=2i-4j

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Q: Find u x v, v x u, and v x v. u = 5i + 9k v = 6i + 9j - 5k. (a) u xv (b) vxu (c) vxv

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Q: Find u x v, v x u, and v x v. u = 4i + 7k v = 6i + 9j - 5k. (a) ux v (b) (c) V x u V X V

A: We have given two vectors u and v and we want to find the cross product of the given vectors in…

Q: Find the cross product a x b. a = j + 6k, b = 3i - j + 5k Verify that it is orthogonal to both a and…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k v = 7i + j – k O…

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Q: Find the real component of In(z + 2w) if

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Q: Find u x v, v x u, and v x v. u = -5i + 3j v = 4i + 5j + 2k (a) u x v (b) v xu (c) V x V

A: The objective of this question is to find the cross products of the given vectors. The cross product…

Q: let v =〈−2, 5〉and w =〈3, −2〉. Sketch v, w, and 2v − 3w.

A: Given vector:                   v=-2,5 and  w=3,-2   Algebra of vectors: Let v = x1, y1 and w =  x2,…

Q: Find the component form of v, where u = 2i − j and w = i + 2j. v = u + 2w

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Q: If u = -i + 4j - 7k and v = 5i - 2j - 9k calculate the product of u . v  u . v =

A: Use the dot product for finding the product of vector .

Q: If u = 7i - 2j + 3k and v = -i + 3j +5k then Projuv is a- 62 62 10 b- +j+k 35 35 62 10 d-i+j+k 35 35…

A: Given vectors are, u=7i^-2j^+3k^  and  v=-i^+3j^+5k^ Now projection of v on u is given by.…

Q: Find u x v, v × u, and v × v. u = 6i + 8k v = 3i + 8j – 4k. (a) u x V (b) (c)

A: This question is based on cross product.

Q: Find u x v, v × u, and v x v. u = 2i + 9k v = 4i + 6j – 3k. (a) UX V (b) (c) V X V

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Q: Given u = - i+j, v = 10i-4j, and w= -8j, find proju (v + w).

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j - k v = 4i + j – k O…

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Q: Q) Verify that (bx с) %3D b.(с х а) — с. (а x b) if a %34i — 3ј +6k , b- 5i +4j — 3k, с %3 4i +6j +3…

A: Given the three vectors