If the vector product of a constant vector with variable vector in a fixed plane be a…

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

Problem

If the vector product of a constant vector

\mathbf{OA}

with variable vector

\mathbf{OB}

in a fixed plane

OAB

be a constant vector, then the locus of

B

is (1) a straight line perpendicular to

\mathbf{OA}

(2) a circle with centre

O

radius equal to

|\mathbf{OA}|

(3) a straight line parallel to

\mathbf{OA}

(4) None of the above