Question:

Plane through $(0,-1,2)$ and $(-1,2,1)$, parallel to line through $(5,1,-7)$ and $(1,-1,-1)$. Which point lies on it?

$(-2,5,0)$

$(1,-2,1)$

$(2,0,1)$

$(0,5,-2)$

Step-by-Step Solution

Key Concept: Two points give one vector in plane. Line direction gives another. Normal $=$ their cross product. Find plane equation.

$(-2,5,0)$.

Correct Answer: 1