If a and b be parallel vectors, then [a c b]= - Vidyadip

MCQ

If $\bar{a}$ and $\bar{b}$ be parallel vectors, then $[\bar{a} \bar{c} \bar{b}]=$

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$0$
B
1
C
2
D
3

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Answer

Correct option: A.

$0$

(A) $\left[\begin{array}{lll}\overline{ a } & \overline{ c } & \overline{ b }\end{array}\right]=\overline{ a } \cdot(\overline{ c } \times \overline{ b })$
$=\bar{c} \cdot(\bar{b} \times \bar{a})$
$=0 \quad \ldots .[\because \overline{ a }$ and $\overline{ b }$ are parallel $]$

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