Find u x v, v x u, and v x v. 3D(-7, 1, 2) 3(4,7, -6) u = (a) u x v (b) (c) V X V

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Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Given the vectors v=i−4j+2kw=3i+2j+k

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Q: Are any of these expressions are valid? State your reason for each. If an expression is invalid, you…

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Q: Find u · v, u· u, ||V|2, (u · v)v, and u · (3v). u = (3, -3, 5), v= (0, 6, 4) (a) u. v 2 (b) 43 u.u…

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Q: W(-4, -3), X(1, -2), Y(2, -7), Z(-3, -8) WXYZ is a

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Q: 1

A: Please refer to the image below

Q: Find x, y, z, and w. x 8 (2x- 1) (2x - 3) 7y (w + 1) (6y + 5) X = y =

A: Given x82x-1y67y=2x-3z55w+16y+5.

Q: Find u · v, u· u, v||2, (u · v)v, and u · (3v). u = (4, 11), v = (-2, 3) (a) u. v 25 (b) u.u 137 (c)…

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Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (2, −2, 1), v = (2, −1,…

A: Given

Q: Find u x v, v x u, and v x v. u = (3, -8, -3) (6, -6, -7) V = (a) u x v (b) v x u (c) v x v

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Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (−7, 0, 0, 0, 9), v = (2, −3, −2, 3, 3)

A: a). b).

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Solution:Given    v=-i+3j+2k              w=3i-2j-kFind:(a)v×w(b)w×v(c)w×w

Q: Find u x v, v x u, and v x v. | = (−1, 5, 4) v = (-5, -4, -7)

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Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). u = , V = (a) u. V 27 (b) 306 (c) 306 (d) (e) u u ||u||²…

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Q: Given u x = (-2,- 1, 1), find (u - 30) x (u + 2v)

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Q: b) Evaluate ſ, S s,(x² + y² + z²)dxdydz.

A: Integrate with respect to x and plug the limits.

Q: 112х+ 7 G Зx+ 16 E

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Q: Find 3 u, 3v, v - u, and 2u + 5v. u = (4, 9), v = (3, –4)

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Q: Find u x v, v x u, and v x v. u = (5, 6, -4) v= (-6, -9, -8) (a) ux v (b) v xu (c) v x v

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Q: 2. Find u, 3v, v - u, and 2u + 5v. u = (4, 3), v = (3, -7) (a) u 券 (b) 3v (c) v - u (d) 2u + 5v

A: Please find the solution below:

Q: Find w such that 2u + v – 3w = 0. u = (2, 7, 5, 0), v = (-3, 1, W =

A: Addition and subtraction of two vectors: Add or subtract the necessary components to add or subtract…