If and are nonzero vectors, is it possible for both to be zero? Explain.
Solution 19DQ Step 1 of 4 Dot product of two vectors is given by, A . B = | || |s Where is the angle between two vectors A and B Cross product of two vectors is given by A × B = A| || | Where is the angle between two vectors A and B Step 2 of 4 For nonzero vectors; in order to have dot product to be zero , the vectors must be orthogonal(perpendicular) to each other so that the angle between them is 90 as shown below, 0 In such case, cos 90 =0, resulting in A . B = 0 0 but sin 90 =1 therefore A × B = A B | || |