Answer to Question #262054 in Mechanics | Relativity for lowrayne

Question

Find the Torque about the rotation produced by constant force of

(6 + 8 − 10 ) 𝑁 on a particle situated at (3 − 4 ) 𝑚.

Answer 1

Vectors given:

$$\vec F=(6\textbf i+8\textbf j-10\textbf k),\\ \vec r=(3\textbf i-4\textbf j+0\textbf k).$$

Torque:

$$\vec\tau=\vec F\times\vec r,\\ \tau=(8·0-(-10)·(-4),\space(-10)·3-6·0,\space6·(-4)-8·3),\\ \vec\tau=(-32,-30,-48)\text{ N}·\text m.$$