Consider the three planes

P₁ : 3x + 15y + 21z = 9,

P₂ : x $-$ 3y $-$ z = 5, and

P₃ : 2x + 10y + 14z = 5

Then, which one of the following is true?

Let the line $l: x=\frac{1-y}{-2}=\frac{z-3}{\lambda}, \lambda \in \mathbb{R}$ meet the plane $P: x+2 y+3 z=4$ at the point $(\alpha,…

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