Find the Cartesia

Given: line passes through (1, 2, 3) 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,

Equation of L₂ can be rewritten as:

Therefore,

Vector form of the line is:

Cartesian form of the line is: