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

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If $\mathbf{a}, \mathbf{b}, \mathbf{c}$ are any three coplanar unit vectors, then

MathematicsVector AlgebraJEE Main

Options:

A $\mathbf{a} \cdot(\mathbf{b} \times \mathbf{c})=1$
B $\mathbf{a} .(\mathbf{b} \times \mathbf{c})=3$
C $(\mathbf{a} \times \mathbf{b}) \cdot \mathbf{c}=0$
D $(\mathbf{c} \times \mathbf{a}) \cdot \mathbf{b}=1$

Solution:

2821 Upvotes Verified Answer

The correct answer is: $(\mathbf{a} \times \mathbf{b}) \cdot \mathbf{c}=0$

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

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