Question

Find parametric equations and symmetric equations for the line.

The line through the points (- 8, 1, 4) and (3, - 2, 4)

Answer 1

Step 1:

The Line passing through the points are is and .

The vector with the representation is .

Consider is parallel to the line passing through the points and . 

The parametric equations of the line passing through the point and parallel to the vector is , where is a scalar.

Consider and .

Parametric equations are

Parametric equations are and .

Step 2:

Symmetric equations are .

Substitute and in above expression.

and

and

Solution:

Parametric equations are and .

Symmetric equations are , .