If u=2i + j -3k and v=i + 4j +k, find u x v.

Q: Solve for w where u = (0, 1, 1, –1) and v = (3, 0, –1, 2). %3D w + 2v = -4u W =

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Q: Let u = 4i + 5j, v = -4i +2j, and w = 3i - j. Determine the i, j form of each of the following: (a)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: = Let -3 -1 -~--~--~--~--~- , V3 -5 1 , V₂ 2 0 combination of V₁, V2 and V3. 5 -26 , V4 -9 -1 -3…

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Q: find ---y (a) u•v, (b) u•u, (c) ||v ||2, (d) (u• v)v, and (e) u • (3v).

A: Disclaimer: Since you have asked a question with multiple sub-parts, we will solve the first three…

Q: Find curl (6z i + 7x j + 8y k). curl(6z i + 7x j + 8y k) = ( i )i + ( i )j + ( i )k

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

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Q: = 5i + 4j and v=4i - 3j, determine -9u - v. Given u O-9u - v = -49i - 33j O-9u - v = -40i - 42j O-9u…

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Q: If u = 2x – 3, thenx V2x – 3dx :

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Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: xyzx + 2y³ (Zyy) = 1 Dependent variable/s: Independent variable/s: Type: Order: Degree: Linearity:

A: Given: Here, the dependent variable is z, independent variables are x and y. And the type is a…

Q: Calculate v × w, where v = (−2, 1, 4) and w = (3, 2, 5).

A: Given: v = (−2, 1, 4) and w = (3, 2, 5)

Q: Find v x w if v = 3i + 8j – 6k and w = -4i – 2j – 3k. O -2i + 8j – 3k -36i + 33j + 26k 33i + 26j +…

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Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

Q: Cakulate (3i+2j+k) • (i + zj - k

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Q: Express w as a linear combination of u and v. 4 --}-}--[:] W = 6 u 3 2 6 6

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Q: Let w = (2, −2, 1) and v = (4, 5, −4). Solve for u if v + 5u =3w − u.

A: Simplification of the function helps to find the vector u. Component-wise operations help to get…