Let P = (3, –2), Q = (1,4), R= (-2,5), S= (-4,6) Find the component and linear %3D combination form for vector PS. а. (-1,4); —і — 4j b. (-1,4); –4i – j с. (7, —8); 7i — 8j d. (-7,8); –7i + 8j

Q: Graph and find the area of the parallelogram formed by the vectors u = and v = .

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Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b.…

A: This question can be solved using the concept of unit vector and linear combination of vectors.

Q: Order the following vectors by increasing magnitude. (3,4) (0,-6) (-2,4)

A: Given vector is (3,4) , (0,-6) and (-2, 4). We have to order the vectors by increasing the…

Q: 1. Add the following three vectors to find the resultant vector, R: šj = (-2,0)m, .ž= (0,–5,)m, .řz…

A: 1.   x1¯  =  (-2,0)mx2¯  =  ( 0, -5)mx3¯   =  (3,0)m Now , In the East - west direction ,  we deal…

Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

A: Given,

Q: Given the following vectors, calculate -7v u=(6,-8)v=(6,-5)

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Q: What vector v is given by the coordinate vector B = { 9x +4, 4x + 6 }. [3] ? B

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Q: Consider the following points. A(3, 1, 1), B(4, -4, 6), C(7, -2, 0), D(6, 3, −5) Let u = AB, VAC,…

A: Consider the following points.Let , , and . Find each of these vectors.Find the scalar triple…

Q: Given the points A: (-5,4,0) and B: (2,-2,4), find the vector u = AB ú=< -3 X 2 X 4

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Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

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Q: v= (-8,-6) and w=(-12,5) Find the following given: 3v – 2w = а. +w = с. Find the unit vector having…

A: This question is related to vectors, We will solve it using given information.

Q: Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your…

A: We have to find length of each vectors first.

Q: Given the points X (1,2,-1)  and  Y (0,3,-2), find a vector collinear with  XY  having opposite…

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