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Let \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) be three vectors that lie on the same line. Find \(\mathbf{a} \times \mathbf{b} + \mathbf{b} \times \mathbf{c} + \mathbf{c} \times \mathbf{a}\)
 

 May 1, 2020
 #1
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The cross product of any two vectors that lie on the same line is zero.  Hence a x b  +  b x c  +  c x a is a zero vector.

 May 2, 2020

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