alleryThe vector product is an operation that is:
AAlways a scalar
BNot commutative
CFully commutative
DAlways a zero
Answer & Solution
Correct answer: B. Not commutative
1. Swapping the two vectors in a cross product flips the result.
2. a cross b equals minus b cross a.
3. So the vector product is not commutative.
_Source: syllabus Mathematics Part II, Chapter 10, Vector Algebra._
Keep practising Vector Algebra
Browse all Vector Algebra questions for CBSE Class 12 (Commerce), or explore more Mathematics topics.
Related questions
If a · b equals |a||b| for nonzero vectors, the angle between them isThe triangle with vertices (1, 0, 0), (0, 1, 0) and (0, 0, 1) has areaUnit vectors a and b satisfy |a + b| = 1. The angle between them isTwo perpendicular vectors have magnitudes 6 and 8. The magnitude of their sum isIf xi + 3j − k equals 2i + yj + zk, then x + y + z isThe vectors 2i + 4j − 6k and i + 2j − 3k areThe direction cosines of 2i − 3j + 6k areThe scalar triple product of three vectors gives the volume of a