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

Answer :

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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