If two vectors point in opposite directions,their cross product must be zero.

Question

Quizplus · Accepted Answer

This statement is true. The cross product of two vectors is perpendicular to both of them and its magnitude is proportional to the sine of the angle between them. If the vectors point in opposite directions, the angle between them is 180 degrees and the sine of 180 degrees is zero. Therefore, the magnitude of their cross product is zero, which means that the cross product itself is the zero vector.

If Two Vectors Point in Opposite Directions,their Cross Product Must