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Multivariable CalculusMediumVectors in Space

Vectors in Space · Medium problem

A wrench applies a force F=(4,0,−3)\mathbf F = (4, 0, -3) newtons at the point with position vector r=(0,3,0)\mathbf r = (0, 3, 0) metres (measured from the pivot at the origin), producing a torque τ=r×F\boldsymbol\tau = \mathbf r \times \mathbf F. Find the scalar component of τ\boldsymbol\tau along the axis direction (0,3,4)(0, 3, 4).