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

Given that the plane is parallel to the ZOX plane.

So, we have the equation of plane ZOX as  $y = 0$.

And an intercept of 3 on the y-axis $\Rightarrow b =3$

Intercept form of a plane given by;

$\frac{x}{a}+\frac{y}{b}+\frac{z}{c} = 1$

So, here the plane would be parallel to the x and z-axes both.

we have any plane parallel to it is of the form, $y=a$.

Equation of the plane required is $y=3$.

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