Find the following for the vectors u = - 5 i+4j + v7 k and v = 5 i - 4 j- V7 k. a. v•u, lv], and Ju| b. the cosine of the angle between v and u c. the scalar projection of u in the direction of v d. the vector projection of u in the direction of v v•u= (Simplify your answer.) |v| =D (Simplify your answer. Type an exact answer, using radicals as needed or round to the nearest thousandth.) lu|=D (Simplify your answer. Type an exact answer, using radicals as needed or round to the nearest thousandth.) The cosine of the angle between v and u is (Simplify your answer. Type an exact answer, using radicals as needed or round to the nearest thousandth. Do not rationalize the c The scalar projection of u in the direction of v is. (Simplify your answer. Type an exact answer, using radicals as needed or round to the nearest thousandth. Rationalize the denomi The vector projection of u in the direction of v is + () K uy = i+ (Simplify your answers. Type exact answers, using radicals as needed or round to the nearest thousandth.)

Q: a = 3i - j - 4k, b = 2i +4j - 2k, c = -i +6k a. 4a - b b. b * (c - a) c. ||a * b|| d. the angle…

A: Solution : Given, a=3i-j-4k b=2i+4j-2k c=-i+6k a.) 4a-b=4(3i-j-4k)+2i+4j-2k =14i-18k b.)…

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Q: Find the following for the vectors u = 10i – 8j + V5 k and v = - 10i + 8j - V5k. a. v•u, |v|, and…

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Q: a. v'u, |v|, |u| b. the cosine of the angle between v and u c. the scalar component of u in the…

A: We have to solve given problem:

Q: 1. Three vectors are given by: å = 2î – 3ĵ + 5k, b = -2î + 7j – k and č = lî + 2j – 4k. axb Find a,…

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Q: 1. a. The points (3,-1,2) and (-1,3,-4) are the endpoints of a diameter of a sphere i. Determine the…

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Q: Find the following for the vectors u= 10i – 8j + V5k and v= - 10i + 8j- /5k. a. v•u, lv], and Ju| b.…

A: This is a problem related to vector's dot product. Based on the general formula and concept we will…

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