Consider the points A(3, –3, 3), B(4, –5,0), C(-3,-4,0), and D(6, 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: If the circumcentre of a triangle lies at the origin and the centroid is the middle point of the…

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Q: Find the​ distance, d, between the point S(6,9,10) and the plane 10x+7y+1z=60.

A: Answer is 73/5√6.

Q: Find the volume of a parallelepiped spanned by 2i - 5j - 7k, i-k and 9i – 3k.

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Q: 1. Find the area of the triangle in the R2 plane whose vertices are given by (0,0), (–1,4) and (7,…

A: 1. The Area of triangle with vertices (x1,y1),(x2,y2),(X3,y3) is given by formula : ∆…

Q: 2. Find the volume of the parallelepiped the following 3 vectors describe the edges: i.q=i-2j-3k, b=…

A: The given problem is to find the volume of the parallelepiped from the given following 3 vectors…

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: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: To find the volume of the parallelepiped formed by given vectors.

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: 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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