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  4. If p1 = 0 and p2 = 0 be two non-parallel planes, then the equation p1 + λ p2 = 0, λ ϵ R represents the family of all planes through S the line of section of planes p1 = 0 and p2 = 0 except the plane

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Q. If $p_1$ = 0 and $p_2$ = 0 be two non-parallel planes, then the equation $p_1 + \lambda p_2 = 0, \lambda \epsilon R$ represents the family of all planes through S the line of section of planes $p_1 = 0$ and $p_2 = 0$ except the plane

Introduction to Three Dimensional Geometry

Solution:

Since $p_1 + \lambda p_2$ = 0 can become $p_2$ = 0 if $\lambda$ = 0 not possible.