Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (1, 8, 7). (16, 14, 16) = i u- v+

Q: Find u · v. u - (7, 2) - (-6, 3) V u.v -

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Calculate v x w: v = (5,6,2), V X W W = (5, 4, 7)

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the cross product a × b. a = (6, 5, -4), b =(2, -1, 1) Verify that it is orthogonal to both a…

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Q: OLet U=(2,-37, V=Fl,5), W=(4,-62 Find U•V

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Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

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Q: Which of the following sets of vectors are linearly independent? A. (4, 8,-5), (-9, -4, -6), (-13,…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

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: If P = (-1,4) and Q = (4, –1), find the coordinates of PQ PQ =

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Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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Q: Find the direction of v:v =(7,-2)

A: Given: v→=7,-2

Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

A: