JEE Advanced Mathematics question
A plane exists which is perpendicular to the line and passes through the line . Then is .
Answer: 10
Solution
The plane is perpendicular to the first line, so its normal is parallel to . It contains the second line, so that line's direction must be perpendicular to the normal:
3(10) + 5(-20) + 7k = 0 ⇒ 30 - 100 + 7k = 0 ⇒ k = 10.
(The plane is then , which
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