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in 3D Coordinate Geometry by (31.4k points)
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Find the angle between the lines 2x = 3y = – z and 6x = – y = – 4z.

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Best answer

Given lines are

2x = 3y = - z and 6x = - y = - 4z which may be written as

Parallel vectors \(\vec{b_1}\) and \(\vec{b_2}\) of (i) and (ii) respectively are

\(\therefore\) Angle between lines (i) and (ii) = Angle between \(\vec{b_1}\) and \(\vec{b_2}\)

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