Given the vectors u 4i – 2j and i 8i 101, perform the operations below. +几

Q: Consider the vectors: å = ỉ– 3j + 2k , b' = 4j – 2k and ở = i + k in 3D A. Write 3a – 4 b - 2¢ in a…

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Q: Given u = (4, -2) and v = 3i + 5j. Find u + v, v - 2u, and -6u + 5v in component form.

A: ai + bj + ci + dj = (a+c)i+ ( b+d)j

Q: Write the vector v in the form ai + bj, given its magnitude v and the angle a it makes with the…

A: To write the vector v in the form ai+bj, given its magnitude v and the angle α it makes with the…

Q: Use the given vectors to find the specified scalar. u = -15i + 4j and v = 13i - 4j; Find u · v. O…

A: Given problem:- Use the given vectors to find the specified scalar.   u = -15i + 4j and v= 13i - 4j;…

Q: Given u = 7i+9j and v7 = 5i - 10j, find u— v. Give your answer in the form ai + bj.

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Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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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: Show that the vectors are orthogonal.

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Q: Simplify each vector operation. a) j·(-j) b) (i ×j)·k c) (i ×j)xk

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

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Q: Find v-u. v=4i-7j and u= -9i+2j OA. -5i-5j OB. -50 O C. -36i-14j OD. -22

A: Given: v= 4i - 7j u= -9i+2j

Q: Find the dot product v • w. v = 6i + 8j, w = – 13i – 8j O A. - 78 А. О В. - 14 О С. -64 O D. - 142

A: Explanation of the answer is as follows

Q: Given the vectors v and u, answer a. through d. below. v= 10i + 2j – 11k u=7i+24j a. Find the dot…

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Q: To enter vectors use the less than symbols from the keyboard and separate the components with a…

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Q: Write the vector below in trigonometric form. f =< -√√6, -3v

A: f=&lt;-√6,-3√2&gt; Trigonometric form = ||m||&lt;cosθ,sinθ&gt; m=(vx2+vy2)tanθ=vyvx