Q7 of 112 Page 1121

Find the Cartesian equations of the line which passes through the point (1, 3, -2) and is parallel to the line given by Also, find the vector form of the equations so obtained.

Given: line passes through (1, 3, -2) and is parallel to the line



To find: equation of line in vector and Cartesian form


Formula Used: Equation of a line is


Vector form:


Cartesian form:


where is a point on the line and is a vector parallel to the line.


Explanation:


Since the line (say L1) is parallel to another line (say L2), L1 has the same direction ratios as that of L2


Here,


Since the equation of L2 is




Therefore,


Vector form of the line is:



Cartesian form of the line is:



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