Three vectors obey ( P + Q = R )

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

Problem

Three vectors obey

\mathbf{P}+\mathbf{Q}=\mathbf{R}

. Given

\mathbf{P}=4\hat{i}+p\hat{j}

\mathbf{Q}=q\hat{i}-3\hat{j}

, and that

\mathbf{R}

has magnitude

5\,\text{units}

and points wholly along the positive

y

-direction, determine the values of

p

and

q