Let a line l pass through the origin and be perpendicular to the lines l_1: r =( i -11 j -7 k )+ ( i +2 j +3...

Question

Let a line l pass through the origin and be perpendicular to the lines l_1: r =( i -11 j -7 k )+ ( i +2 j +3 k ), R and l_2: r =(- i + k )+ (2 i +2 j + k ), R. If P is the point of intersection of l and l_1, and Q( , , ) is the foot of perpendicular from P on l_2, then 9( + + ) is equal to _________.

Accepted Answer

5

JEE Main 2023 Mathematics question

Solution