If the direction cosines of a vector satisfy and with

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

If the direction cosines of a vector satisfy

l=\tfrac{1}{3}

and

m=\tfrac{2}{3}

with

n>0

, find the value of

n

. (a)

\dfrac{\sqrt{5}}{3}

(b)

\tfrac{2}{3}

(c)

\dfrac{1}{\sqrt{3}}

(d)

\dfrac{\sqrt{2}}{3}