Vectors and have magnitudes units and units respectively

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Vectors

\mathbf{a}

and

\mathbf{b}

have magnitudes

5

units and

7

units respectively, and the angle between them is

60^{\circ}

. Calculate the magnitude of

\mathbf{a}+\mathbf{b}

. (a)

12

units (b)

\sqrt{109}

units (c)

10

units (d)

\sqrt{39}

units