Find the vector equation of the line passing through the point (1, – 1, 2) and perpendicular to the plane 2x – y + 3z – 5 = 0.

Question

Philoid · Accepted Answer

Equation of line passing through and parallel to is given by ……(1)

Given that the line passes through (1, – 1,2) is

…… (2)

Since , line (1) is perpendicular to the plane 2x – y + 3z – 5 = 0, so normal to plane is parallel to the line.

In vector form,

is parallel to

So, as l is any scalar

Thus, the equation of required line,