If a vector (A=2 i+2 j+3 k ) and (B=3 i+6 j+n k ) are perpendicular to each other, then the value of (n ) is

Step-by-step solution

If two vectors are perpendicular, then the dot product is zero. ( aligned &A=2 i+2 j+3 k &B=3 i+6 j+n k &A B=0=>6+12+3 n=0 & >18=-3 n & n=-6 aligned ) Hence the value of (n ) is (-6 ).