Question

Find the equation of the plane with intercept 3 on the y -axis and parallel to ZOX plane.

Answer 1

The equation of plane in intercept form is,

x a + y b + z c =1(1)

Here,

a is the intercept of the plane with the x axis.

b is the intercept of the plane with the y axis.

c is the intercept of the plane with the z axis.

The plane is parallel to ZOX plane, so there will be no intercept of the plane on the x axis and y axis.That is,

a=0

c=0

The intercept with y axis is 3, that is,

b=3

Substitute the values in equation (1).

x 0 + y 3 + z 0 =1 y=3

Thus, the required equation of plane is y=3.