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

MCQ

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

A
$\overline{ a } \cdot(\overline{ b } \times \overline{ c })=1$
B
$\bar{a} \cdot(\bar{b} \times \bar{c})=3$
✓
$(\bar{a} \times \bar{b}) \cdot \bar{c}=0$
D
$(\bar{c} \times \bar{a}) \cdot \bar{b}=1$

✓

Answer

Correct option: C.

$(\bar{a} \times \bar{b}) \cdot \bar{c}=0$

(C) $\overline{ a } \cdot(\overline{ b } \times \overline{ c })=0$ or $(\overline{ a } \times \overline{ b }) \cdot \overline{ c }=0$

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