JEE Main · MathematicsHard
A plane passes through the point and is parallel to the vectors and . Find the equation of the plane.
- A.$2x + y - z = 2$
- B.
- C.
- D.$2x - y + z = 2$
Show correct answer & step-by-step solution
Correct answer: A — $2x + y - z = 2$
Solution
- The normal vector .
- The equation is .
- Simplifying, , which is .
- Multiplying by -1, $2x + y - z = 2$.
- Hence the answer is (A).
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