# Math Help - Vector

1. ## Vector

A boat is traveling at approximately 8 knots with a bearing of N21 degrees. How do i find the component form of vector.

2. Hello jumpman23
Originally Posted by jumpman23
A boat is traveling at approximately 8 knots with a bearing of N21 degrees. How do i find the component form of vector.
I presume you mean N 21 degrees E, or a bearing $021^o$, in which case the component North is $8\cos 21^o=7.47$ and the component East is $8\sin21^o=2.87$.

If you're using $\vec{i}$ and $\vec{j}$ as unit vectors East and North, then the vector can be written $2.87\vec{i} + 7.47\vec{j}$, or as a column vector: $\binom{2.87}{7.47}$.

Is that the sort of thing you mean?