If and , determine the vector…

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

Problem

\mathbf{AB}=3\mathbf{i}-2\mathbf{j}+\mathbf{k}

and

\mathbf{BC}=-\mathbf{i}+4\mathbf{j}-3\mathbf{k}

, determine the vector

\mathbf{AC}

. (a)

4\mathbf{i}+2\mathbf{j}-2\mathbf{k}

(b)

4\mathbf{i}-6\mathbf{j}+4\mathbf{k}

(c)

2\mathbf{i}+2\mathbf{j}-2\mathbf{k}

(d)

2\mathbf{i}-6\mathbf{j}-2\mathbf{k}