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The vector equation of the line joining the points $3 i + 2 j - 4 k, 5 i + 4 j - 6 k$ is

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$r = (3 i + 2 j - 4 k) + t (2 i - 2 j - 2 k)$

$r = (3 i + 2 j - 4 k) + t (- 2 i + 2 j - 2 k)$

$r = (3 i + 2 j - 4 k) + t (2 i + 2 j - 2 k)$

$r = (5 i + 4 j - 6 k) + t (3 i + 2 j - 4 k)$

answer is A.

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Detailed Solution

$r = a + y (b - a) = (3 i + 2 j - 4 k) + t (2 i + 2 j - 2 k)$

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