Show that the plane whose vector equation is contains the line whose vector equation is

Question

Philoid · Accepted Answer

we know that plane contains the line if

Given, equation of plane and equation of line

So

d = 3

= (2)(1) + (1)(2) + (4)(– 1)

= 2 + 2 – 4

= (1)(1) + (1)(2) + (0)(– 1)

= 1 + 2 – 0

= 3

= d

Since, and

So, Given line is on the given plane.

Hence, Proved.