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
= =