Find the Cartesian and vector equations of a line which passes through the point and is parallel to the line

Answer

Given: line passes through and is parallel to the line

\frac{-x-2}{1}=\frac{y+3}{7}=\frac{2 z-6}{3}

To find: equation of line in Vector and Cartesian form

Formula Used: Equation of a line is

Vector form:

Cartesian form: line.

Explanation:

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

Here,

Equation of can be rewritten as: