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Use a scalar triple product to find the volume of the parallelepiped that has u, v, and w as adjacent edges. I 25. u = (2, -6, 2), v = (0, 4, –2), w = (2, 2, –4)

Use a scalar triple product to find the volume of the parallelepiped that has u, v, and w as adjacent edges. I 25. u = (2, -6, 2), v = (0, 4, –2), w = (2, 2, –4)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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39. The accompanying figure shows a force F of 10 lb applied in the positive y-direction to the point Q(1, 1, 1) of a cube whose sides have a length of 1 ft. In each part, find the scalar moment of F about the point P, and describe the direction of rotation, if any, if the cube is free to rotate about P. (a) P is the point (0, 0, 0). (b) P is the point (1, 0, 0). (c) P is the point (1, 0, 1).
Transcribed Image Text:39. The accompanying figure shows a force F of 10 lb applied in the positive y-direction to the point Q(1, 1, 1) of a cube whose sides have a length of 1 ft. In each part, find the scalar moment of F about the point P, and describe the direction of rotation, if any, if the cube is free to rotate about P. (a) P is the point (0, 0, 0). (b) P is the point (1, 0, 0). (c) P is the point (1, 0, 1).
Use a scalar triple product to find the volume of the parallelepiped that has u, v, and w as adjacent edges. 25. и 3D (2, —6, 2), v 3D (0, 4, - 2), w %3D (2, 2, —4)
Transcribed Image Text:Use a scalar triple product to find the volume of the parallelepiped that has u, v, and w as adjacent edges. 25. и 3D (2, —6, 2), v 3D (0, 4, - 2), w %3D (2, 2, —4)
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