Two vectors are given as and .

MATHEMATICS · Multi-part · GCSE · Mathematics · Vectors · Vectors

Problem

Two vectors are given as

\mathbf{A}=4\,\mathbf{\hat{i}}+3\,\mathbf{\hat{j}}

and

\mathbf{B}=-2\,\mathbf{\hat{i}}+5\,\mathbf{\hat{j}}

. (a) Find the resultant vector

\mathbf{R}=\mathbf{A}+\mathbf{B}

in unit–vector notation. (b) Calculate the magnitude of

\mathbf{R}