Let be the angle between the planes P_1: r .( i + j +2 k )=9 and P_2: r .(2 i - j + k )=15. Let L be the line...

Question

Let be the angle between the planes P_1: r .( i + j +2 k )=9 and P_2: r .(2 i - j + k )=15. Let L be the line that meets P_2 at the point (4, –2, 5) and makes an angle with the normal of P_2. If is the angle between L and P_2, then ( ^2 )( ^2 ) is equal to________.

Accepted Answer

9

JEE Main 2023 Mathematics question

Solution