Use a computer algebra system to find u x v and a unit vector orthogonal to u and v. u = 4k v = 5.5i + 4.1k ux v = -4i + 22j UX V |ux v|| || 2 35 :i+ X 肯

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: 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: Calculate the scalar triple product u (vx w), where u = . (Use symbolic notation and fractions where…

A: Here we have to evaluate the scalar triple product u. (v x w) .

Q: Compute (u v Ղա • Ա. . — u = (i, 7,6), v = (2, -7i, 1+i), w = (7-i, 7i, 3 + 6i) u · v) ա • Ա —

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Q: 3. Solve the system below using the specified method. Write your answer in vector form. X1 - 3x2 = 2…

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Q: If z = 1+ 2i and w = 3+ 4i, express the following in the rectangular form: (a) 2|w| +(1 – i)2² w + z…

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Q: Let u = 4i - 9j, and v= - 4i +4j. Find v- u. v-u = (Type your answer in terms of i and j.)

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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 a b. . a = 8i + j, b = i-4j+ k

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Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. ||v - w ||

A: Given vectors are: v=3i+j-2kw=-3i+2j-k We have to find v-w.

Q: Cakulate (3i+2j+k) • (i + zj - k

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Q: Given the vectors V and w in the figure below, X 13 근 AREA = 60 units² y

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Q: Express −i+j in the form [a,b]

A: Simplification

Q: Let v = (5, 8) and w = (4, 5). What is the dot product v · w?

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Q: rI2-3 Let A = For which vectors b does the L-34 6 7. equa tion Ax=b have a solution!

A: We have to find the vector b.

Q: Let u= (1, 8i), v = (7i, 7 + i), w = (1 + i, 0), and k = -i. Evaluate the expressions in parts (a)…

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