Let ( a =3 i +4 j -12 k ) and let the scalar (k=- 3 2

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\mathbf{a}=3\hat{i}+4\hat{j}-12\hat{k}

and let the scalar

k=-\dfrac{3}{2}.

(a) Find the vector

k\mathbf{a}.

(b) Compute

|\mathbf{a}|

and

|k\mathbf{a}|.

\dfrac{|k\mathbf{a}|}{|\mathbf{a}|}.

(d) State the angle between

\mathbf{a}

and

k\mathbf{a}.