If a, b, c are any three coplanar unit vectors, then | MATH - VECTOR OR CROSS PRODUCT OF TWO VECTORS AND ITS APPLICATIONS | SolveeIt

If a, b, c are any three coplanar unit vectors, then

$\mathbf{a}.(\mathbf{b} \times \mathbf{c}) = 1$

$\mathbf{a}.(\mathbf{b} \times \mathbf{c}) = 3$

$(\mathbf{a} \times \mathbf{b}).\mathbf{c} = 0$

$(\mathbf{c} \times \mathbf{a}).\mathbf{b} = 1$

Answer

$(\mathbf{a} \times \mathbf{b}).\mathbf{c} = 0$

Explanation

$\mathbf{a}.(\mathbf{b} \times \mathbf{c}) = 0$ or $(\mathbf{a} \times \mathbf{b}).\mathbf{c} = 0.$

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