Q2 of 230 Page 29

Find the equation of the plane through (3, 4, –1) which is parallel to the plane

given equation of the plane is

…… (1)

We know that the equation of a plane parallel to given plane (1) is

…… (2)

As given that, plane (2) is passing through the point so it satisfy the equation (2),

(3)(2) + (4)( – 3) + ( – 1)(5) + k = 0

6 – 12 – 5 + k = 0

k = 11

put the value of k in equation (2),

So, the equation of the required plane is,

Find the vector equation of the following planes in non - parametric form :

Find the equation of plane parallel to 2x – 3y + z = 0 and passing through the point (1, – 1,2)?

Find the equation of the plane through the intersection of the planes 2x – 7y + 4z – 3 = 0 and 3x – 5y + 4z + 11 = 0 and the point ( – 2,1,3)?

Find the equation of the plane through the point and passing through the line of intersection of the planes and