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Dot Product of Two Vectors

If a = 1, –1 ...

Question

If $a = (1, - 1)$ and $b = (- 2, m)$ are two collinear vectors, then $m$ is equal to?

A

$2$

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B

$4$

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C

$3$

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D

$0$

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Solution

The correct option is A
$2$

Explanation for correct option:
Given, $a = (1, - 1) & b = (- 2, m)$ are two collinear vectors.
As we know,
Condition for collinear vector is $\frac{x_{1}}{x_{2}} = \frac{y_{1}}{y_{2}}$
$\Rightarrow$ $\frac{1}{- 2} = \frac{- 1}{m}$
$∴ m = 2$
Hence, Correct option is $(A)$

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