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

 Apr 9, 2022
 #1
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The vectors is $(1,0,0)$.

 Apr 9, 2022
 #2
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If two vectors are parallel, their cross product (vector product ) is zero.

So, all three products are zero in which case their sum will be zero.

 Apr 11, 2022

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