# Solving two dimensional vector problems

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##### Intros
###### Lessons
1. Introduction to solving two dimensional vector problems

• Overview of trigonometry strategies for different types of vector problems
• Definition of the law of sines and the law of cosines
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##### Examples
###### Lessons
1. Use the law of sines to solve triangles
1. Find the length of side c
2. Find the angle &theta
2. Use the law of cosines to solve triangles
1. For the following triangle:
1. Find the length of the unknown side.
2. Find the angle θ
2. A paper airplane is thrown 11.0 m [W], then thrown 14.0 m, then 16.0 m. The final throw returns it to its original position. Find the angle of the 14.0 m throw.
3. Solve a vector word problem using the laws of sines and cosines

To get to school, Pauline leaves her house and walks due east 1.40 km, then takes a shortcut by walking 0.650 km [35° S of E] through a park. Find her displacement from home to school.

1. Solve a difficult vector triangle using geometry

Solve the equation $\vec{A} + \vec{B} = \vec{C}$.