State the condition for two non-zero vectors and to be parallel in terms of their…

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

State the condition for two non-zero vectors

\mathbf{a}=a_1\,\mathbf{i}+a_2\,\mathbf{j}+a_3\,\mathbf{k}

and

\mathbf{b}=b_1\,\mathbf{i}+b_2\,\mathbf{j}+b_3\,\mathbf{k}

to be parallel in terms of their components.