# Vector components

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##### Intros

##### Examples

###### Lessons

**Break a displacement into vector components**A boat sails 33.0 km at 55.0° north of west. What are the north and west components of its displacement?

**Use components of velocity for calculations**A plane that is taking off travels at 67.0 m/s at a 15.0° angle above the horizontal.

- How long does it take the plane to reach its cruising altitude of 12.0 km?
- If the plane is headed east, how far east has it travelled in this time?

**Add two 2D vectors using components**Solve the equation $\vec{v}_{1} + \vec{v}_{2} = \vec{v}_{res}$ by breaking $\vec{v}_{1}$ and $\vec{v}_{2}$ into their x and y components.