A boat is traveling at approximately 8 knots with a bearing of N21 degrees. How do i find the component form of vector.
Hello jumpman23I presume you mean N 21 degrees E, or a bearing $\displaystyle 021^o$, in which case the component North is $\displaystyle 8\cos 21^o=7.47$ and the component East is $\displaystyle 8\sin21^o=2.87$.
If you're using $\displaystyle \vec{i}$ and $\displaystyle \vec{j}$ as unit vectors East and North, then the vector can be written $\displaystyle 2.87\vec{i} + 7.47\vec{j}$, or as a column vector: $\displaystyle \binom{2.87}{7.47}$.
Is that the sort of thing you mean?
Grandad