For this problem, consider the points P = (-2,8,9) and Q = (0, 4, 5). (a) Express the vector PQ as the difference between two vectors, and then compute its coordinates. (b) Compute a unit vector u in the same direction as PQ. (c) Compute a vector v of length 10 in the same direction as PQ.

Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: Find two unit vectors orthogonal to a = (-2,-1, 3) and b = (5,-2, 1) Enter your answer so that the…

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Q: Given two vectors P=a,-a, Q-2а, -а, ta, R=2a,+3a,+a, Determine: (a). (P+Q)x(P-Q) (b). Q.RxP (c)…

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Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

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Q: Find the point functions t= d6i +(e-6); +(-€)4 and 40=(2+2-/it (5- €);t (1-56)4 Intersect. at which…

A: Given: Two vector functions as r1t=2ti+t2-6j+-13t3k and r2t=2+2ti+5-tj+1-5tk, To find: The…

Q: onsider the points A = (-2, 3, -1) and B = (4, -2, 1). (a) Draw a 3D coordinate system that follows…

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Q: 2. (a) (b) (c) Determine if the vectors are linearly independent. Justify your answer. and HNO 8…

A: We use definition of linearly independent vectors.

Q: Determine the angles between the following pairs of vectors. (a) (−1, 1), (0, 1)     (b) (2, 0), (1,…

A: To determine the angles between the following pairs of vectors.

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: For the vectors u= (-8,0,3) and v= (1,3,-3), calculate proj,u and scalvu.

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Q: Find two independent vectors both of which are perpendicular to i = 3

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