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Pair of Lines

Find the equa...

Question

Find the equation of the line in vector and in Cartesian form that passes through the point with position vector and is in the direction .

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Solution

It is given that the line passes through the point with position vector

It is known that a line through a point with position vector and parallel to is given by the equation,

This is the required equation of the line in vector form.

Eliminating λ, we obtain the Cartesian form equation as

This is the required equation of the given line in Cartesian form.

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