Halliday, Resnick & Walker — Rolling, Torque, and Angular Momentum: Problem 19

19 In unit vector notation, find the net torque about the origin on a particle located at \((2.0 \, \text{m}, -2.0 \, \text{m}, -6.0 \, \text{m})\) when the three forces \(\vec{F}_1 = (2.0 \, \text{N})\hat{i} - (3.0 \, \text{N})\hat{j} + (2.0 \, \text{N})\hat{k}\), \(\vec{F}_2 = (1.0 \, \text{N})\hat{i} - (2.0 \, \text{N})\hat{j} - (3.0 \, \text{N})\hat{k}\), and \(\vec{F}_3 = (4.0 \, \text{N})\hat{i} + (2.0 \, \text{N})\hat{j} - (3.0 \, \text{N})\hat{k}\) act on the particle.