Consider the points A(2, –3, 4), B(4, -5, 1), C(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the exact answer. Volume = (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. Distance

Q: Let A = and B = , P = (9, 8, 7) e. Find the volume of the parallelepiped spanned by A, B, and P…

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Q: Find an equation of the plane through the points P(0, 1, 1), Q(1, 1,1), and R(1,1,0). Write the…

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Q: Given the points P (1, 2, 2), Q (2, -1, 4), R (3, 5, -2) and S(0,-1,3). (a) Use vectors to calculate…

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Q: Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of…

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Q: Consider the points A(1, -2,4), B(2, –4, 1), C'(-1, –3, 1), and D(3, 1, –5). (a) Find the volume of…

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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C'(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of…

A: AB→=(5, -5, 2)-(3, -3, 5)AB→=(2, -2, -3)AC→=(-1, -4, 2)-(3, -3, 5)AC→=(-4, -1, -3)AD→=(4, 1, -8)-(3,…

Q: Consider the points A(1, –1, 2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). | (a) Find the volume of…

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Q: Give v that is perpendicular to a plane containing (1,2,3), (3, 4, 1) and (-1, -2, -3). Check if…

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Q: Consider the points A(3,-3, 3), B(4, –5, 1), C(-2,-4, 1), and D(6,3,-5). (a) Find the volume of the…

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Q: What is the volume of the parallelepiped determined by the vectors ⟨0,1,4⟩,⟨1,1,1⟩, and ⟨2,0,3⟩?

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Q: Find the cross product a x b. a a = (t, t², t³), b = (1, 4t, 9t²)

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Q: Find the area of the parallelogram spanned by the following vectors. u = [4, –6, 5] v = [0, 6, 8]…

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