If two vectors A = 4 i + n j + 2 k and B = 2 i + 2 j - k are mutually perpendicular to each other then value of 'n' is

Step-by-step solution

For two vectors to be mutually perpendicular, their dot product must be zero. A B = 0 (4 i + n j + 2 k ) (2 i + 2 j - k ) = 0 (4)(2) + (n)(2) + (2)(-1) = 0 8 + 2n - 2 = 0 2n + 6 = 0 n = -3 Answer: -3