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Using vector algebra how to prove three or four vectors are coplanar?

Using vector algebra how to prove three or four vectors are coplanar?

Grade:12

1 Answers

Akshay
185 Points
6 years ago
if three vectors are coplanar, then a vector perpendicular to first and second vector will also be perpendicular to third vector. 
So, A.(BXC) = 0, 
BXC is a vector perpendicular to B and C. If A is perpendicular to such vector, then dot product of A and BXC =0.
For 4 vectors, A B C D, same thing applies,
A.(BXC) = 0 and D.(BXC) =0

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