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 the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the exact answer. 29 Volume = (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. 15 Distance = V65

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 the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the exact answer. 29 Volume = (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. 15 Distance = V65

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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