State which of the following statements about the magnitude of is correct when and…

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

State which of the following statements about the magnitude of

\vec A \times \vec B

is correct when

\vec A

and

\vec B

represent two adjacent sides of a parallelogram. (a)

|\vec A \times \vec B|

equals

AB\cos\theta

. (b)

|\vec A \times \vec B|

equals the area of the triangle formed by

\vec A

and

\vec B

. (c)

|\vec A \times \vec B|

equals the area of the parallelogram formed by

\vec A

and

\vec B

. (d)

|\vec A \times \vec B|

equals

AB