For and , the vectors and are perpendicular. Determine the value of…

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

Problem

For

\mathbf a = (2,-1,3)

and

\mathbf b = (1,4,-2)

, the vectors

k\,\mathbf a + \mathbf b

and

\mathbf a - 2\mathbf b

are perpendicular. Determine the value of

k

. (a)

-\dfrac{11}{6}

(b)

\dfrac{5}{3}

(c)

\dfrac{3}{5}

(d)

\dfrac{50}{21}