Given and , determine the unit vector perpendicular to both and that makes an obtuse…

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

Problem

Given

\vec A = 3\hat i - 2\hat j + 4\hat k

and

\vec B = -2\hat i + \hat j + 5\hat k

, determine the unit vector perpendicular to both

\vec A

and

\vec B

that makes an obtuse angle with the

+\hat i

direction. (a)

\dfrac{14\hat i + 23\hat j + \hat k}{11\sqrt 6}

(b)

\dfrac{-14\hat i - 23\hat j + 7\hat k}{11\sqrt 6}

(c)

\dfrac{-14\hat i - 23\hat j - \hat k}{11\sqrt 6}

(d)

\dfrac{-14\hat i + 23\hat j + \hat k}{11\sqrt 6}