The vectorais in the planeOxyWhereOx, Oyare the coordinate axes, and makes an angle $\displaystyle 30^\circ$ withOx, as in the above diagram. Find the components ofaalongOx, Oywhenaequals 10.

My answer:

$\displaystyle \begin{array}{rcrcrc}

a = 10\\

\cos30 = \frac{A}{10}\\

10\cos30 = A\\

A = 8.66

\end{array}$

$\displaystyle \begin{array}{rcrcrc}

a = 10\\

\sin30 = \frac{opp}{10}\\

10\sin30 = opp\\

opp = 5

\end{array}$

Answer: $\displaystyle |8.66i + 5j|$

Is this right?