The nonzero vector U and V are orthogonal if and only if U x V = 0 .
The answer is false.
U x V = 0 if and only if U and V are orthogonal.
Can you explain to me why question 1 is false ?
I know question 2 is true because it is the definition of orthogonal.
Thank you very much.
1) The nonzero vectors and are orthogonal if and only if
The answer is false . . . Right!
Two vectors are orthogonal if their dot product is zero: .
2) if and only if and are orthogonal.
. Strange . . . This is identical to question 1.
The cross product is zero if and only if the vectors are parallel.