Consider and

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

Problem

Consider

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

and

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

. The vector

\vec A

is required to be perpendicular to

\vec B

, and the vector

\vec C = \vec A + \vec B

must be parallel to

2\hat i - 2\hat j + 10\hat k

. Which value of

a

satisfies both conditions? (a)

-2

(b)

1

(c)

-1

(d)

2