Mathematics

Problem

Vector

\mathbf{p}

has magnitude

6

units along the positive

y

-axis. Vector

\mathbf{q}

has magnitude

8

units and is directed at

30^{\circ}

above the positive

x

-axis in the

xy

-plane. Calculate the magnitude (correct to two decimal places) of the vector

\mathbf{p}-\mathbf{q}