Let be distinct non-negative numbers

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

Problem

Let

a, b, c

be distinct non-negative numbers. If the vectors

a\hat{i} + a\hat{j} + c\hat{k}

\hat{i} + \hat{k}

and

c\hat{i} + c\hat{j} + b\hat{k}

lie in a plane, then

c

is (1) HM of

a

and

b

(2) 0 (3) AM of

a

and

b

(4) GM of

a

and

b