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A force vec F = 2 hat i + 3 hat j N is a...

A force `vec F = 2 hat i + 3 hat j N` is applied to an object that is pivoted about a fixed axle aligned along the `z` coordinate axis. If the force is applied at the point `vec r = 4 hat i + 5 hat j m`, (a) the magnitude of the net torque about the `z` and (b) the direction of the torque vector `tau`.

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The correct Answer is:
`2.00 N.m, (b) hat(k)`
`vec F = 2 hat i+ 3hatj N`
`vec r = 4 hat i + 5 hat j m rArrvec tau = vec r xx vec F`
`vectau = (4 hat i + 5 hat j) xx (2 hat i + 3 hat j)`
`vec(tau) = 12 hat(k) - 10(hat(k)) rArr vec(tau) = 2 hat(k)`.
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