Consider the parallelepiped P in R³ determined by the vectors u = [−2 −1 -2], v = [-3_1_1] and w = [1 8 -10]. Use the parallelogram determined by u and v as the base of P. (a) Find the area A of the base of P. A (If needed, enter √√x as sqrt(x).) (b) Find the volume V of P. ν (c) Find one vector n orthogonal to the base of P so that the volume of the parallelepiped determined by u, v, n equals the volume of P. n

Consider the parallelepiped P in R³ determined by the vectors u = [−2 −1 -2], v = [-3_1_1] and w = [1 8 -10]. Use the parallelogram determined by u and v as the base of P. (a) Find the area A of the base of P. A (If needed, enter √√x as sqrt(x).) (b) Find the volume V of P. ν (c) Find one vector n orthogonal to the base of P so that the volume of the parallelepiped determined by u, v, n equals the volume of P. n

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter81: Introduction To Computer Numerical Control (cnc)

Section: Chapter Questions

Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...

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