Vector has magnitude and is directed at above the positive -axis in the -plane

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

Problem

Vector

\vec P

has magnitude

10\,\text{units}

and is directed at

30^{\circ}

above the positive

x

-axis in the

xy

-plane. Vector

\vec Q

has magnitude

15\,\text{units}

and is directed at

60^{\circ}

above the positive

x

-axis in the same plane. (a) Resolve

\vec P

and

\vec Q

into their rectangular components. (b) Using your results from part (a), determine the scalar product

\vec P\cdot\vec Q

. (c) Calculate the angle between

\vec P

and

\vec Q

correct to the nearest degree.