Find $2 v$ , when $u = (3, 4, - 2)$ and $v = (0, - 4, 0)$ .

(0, - 8, 0)

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(3, 8, 0)

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(3, - 8, - 2)

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None of these

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Solution

The correct option is A $(0, - 8, 0)$
Given points
$u (3, 4, - 2)$ and $v (0, - 4, 0)$
$\to u = 3^i + 4^j - 2^k$
$\to v = - 4^j$
vector
$2 \to v = 2 \times - 4 \to j$
$2 \to v = - 8 \to j = (0, - 8, 0)$

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