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A vector \(\vec A\) points vertically downward and \(\vec B\) points towards the east. Then the vector product \(\vec A\times\vec B\) is:

1. along west
2. along east
3. zero
4. along south

Correct answer: along south

Solution

Let east be \(+x\), north be \(+y\), and upward be \(+z\). Then downward is \(-z\), so \(\vec A\times\vec B = (-\hat k)\times\hat i = -\hat j\), which points south.

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