Q. 15

# Find the Cartesian equation of a line which passes through the point having position vector and is in the direction of the vector

Given : A line which passes through the point having position vector

and is in the direction of the vector

To find : cartesian equations of a line

Formula used : If a line which passes through the point having position vector

p + q + r and is in the direction of the vector l + m + n then its Cartesian

equation is given by

= =

A line which passes through the point having position vector

and is in the direction of the vector

Here l = 1 , m = 2 , n = -1 and p = 2 , q = -1 , r = 4

= =

= =

The Cartesian equation of a line which passes through the point having

position vector and is in the direction of the vector is

= =

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