The magnitude of a given vector with end points (4, -4, 0) and (-2, -2, 0) must be

$6$

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$5 \sqrt{2}$

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$4$

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$2 \sqrt{10}$

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Solution

The correct option is D
$2 \sqrt{10}$

$\to r = {\to r}_{2} - {\to r}_{1} = (- 2^i - 2^j + 0^k) - (4^i - 4^j + 0^k) \Rightarrow \to r = - 6^i + 2^j + 0^k ∴ | \to r | = \sqrt{(- 6)^{2} + (2)^{2} + 0^{2}} = \sqrt{36 + 4} = \sqrt{40} = 2 \sqrt{10}$

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4-None of the above

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