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Question: consider the forces measured in newton n f1 10i...

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Consider the forces (measured in Newton, N): F1 = (10i - 15j - 8k), F2 = (-5i - 6j + 9k) and F3 = (-12i + 4j + 20k). (a) Determine the unit vectors along each of forces, F1, F2 and F3. (b) Determine the direction cosines of F1, F2 and F3. (c) Using the determinant representation, compute F1 ×F2, F2 ×F3 and F3 ×F1. (d) Determine the angle between F1 and F2, the angle between F2 and F3, and the angle between F3 and F1.

Problem 1 Consider the forces (measured in Newton, N): F-(10i-15j-8k), F2-(-5i-si + 9k) and F(-12i+4j + 20k). (a) Determine the unit vectors along each of forces, F1, F2 and F3. (b) Determine the direction cosines of F1, F2 and F3 (c) Using the determinant representation, compute F1x F2, F2 x Fs and F3x Fı (d) Determine the angle between Fı and F2, the angle between F2 and F3, and the angle between F3 and F1

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