Let a , b , c be three vectors such that | a |= 31 , 4| b |=| c |=2 and 2( a b )=3( c a ). If the angle...

Question

Let a , b , c be three vectors such that | a |= 31 , 4| b |=| c |=2 and 2( a b )=3( c a ). If the angle between b and c is 2 3 , then ( | a c | | a . b | )^2 is equal to________.

Accepted Answer

3

JEE Main 2023 Mathematics question

Solution