AAI ATC Junior Executive 25 Mar 2021 Shift 1 Paper

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Question : 73 of 120

Marks: +1, -0

Determine the vector equation for the line, given the cartesian equation of a line is

\;{x + 5}/{3} = \;{y−7}/{2} = \;{z + 3}/{2}

?

$r↖{⟶} = (−3i↖{^} + 5j↖{^}−6k↖{^}) + λ (2i↖{^} + 4j↖{^} + 2k↖{^})$
$r↖{⟶} = (−5i↖{^} + 7j↖{^}−3k↖{^}) + λ (2i↖{^} + 4j↖{^} + 2k↖{^})$
$r↖{⟶} = (−5i↖{^} + 7j↖{^}−3k↖{^}) + λ (3i↖{^} + 2j↖{^} + 2k↖{^})$
$r↖{⟶} = (−3i↖{^} + 5j↖{^}−6k↖{^}) + λ (3i↖{^} + 2j↖{^} + 2k↖{^})$

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