a) Consider the point R(1, -3,5) and the vector . If = SR, find the point fully labeled sketch depicting the situation. b) Let a (6,-9, 12), 6=(2, -3,1), c= (-4,6,-8). Determine which of thes

Q: Find the vector v = PQ. P = (4,3, 6) Q = (9,5, 3) V =

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Q: iven the vectors a = (3,2,-1) and b = (1, -2,3), find the equation of the line joining a nd b. Show…

A: This is a problem of 3D geometry and calculus.

Q: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

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Q: Let A = (-3, 4), B = (-2, b), C = (1, 6), and D = (a, 2). Then AB and DC are opposite sides of the…

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Q: 39. Given a = (3, -4) and b = (1, 2). Find the vector 2 a. (3,4) a. b. 2,4) c. (6,-8) d. (5,-2)

A: From the given statement,

Q: Graph each of the points: A (-2, 6); B (5, 3); C (3,-3); and D (-4, 0). Draw a vector from the…

A: To determine the length and angle made by the vectors, we will use the distance formula and the…

Q: Hw.L showthat Vi=3inbj andVz 2-i-zj have opfosite directions.

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Q: Given the vectors component form. = (-4, 2, 1), (3, 1, 5), calculatex. Write your final answer in =

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Q: 40. Given a = (3, –4) and 5 = (1, 2). Find the vector a + 25. O a. (5,-8) Оь. ( 5,0) O c. (4,-4) O…

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Q: Given points A(4,5) and B(6,1), write the component form of the vector from A to B.

A: We have to find out the vector

Q: Draw position vector OP = (-2,-4,3) on the axis below.

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Q: 2. Find the directions cosines of AB. a. Ā = (-1,2,3) and B = (4, –3, 1) %3D

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Q: 39. Given a = (3, -4) and 5 = (1, 2). Find the vector 2 a. a. (3,4) O b. (2,4) O c. (6,-8) O d.…

A: The given vector is, a⇀=3,-4

Q: What is the direction of u= (2,–3,–6).

A: Direction of a given Vector.

Q: If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the…

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