Mathematics

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