Find the vector and Cartesian equations of the line joining the points whose position vectors are and

Answer

Given: line passes through the points whose position vectors are and .

Io find: equation of line in vector and Cartesian forms

Formula Used: Equation of a line is

Vector form:

Cartesian form: .

where is a point on the line and with being the direction ratios of the line.

Explanation:

Here,

The direction ratios of the line are

Find the vector and Cartesian equations of the line joining the points whose position vectors are

Find the vector and Cartesian equations of the line joining the points whose position vectors are