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Finding Direction Angles of Vectors. Direction Angles. Any vector that begins at the origin can easily be translated into a directional angle This is usually done with a tangent ratio Keep an eye out for 30,45,60 degree angles using the triangles!. Finding the directional angle of a vector.
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Direction Angles • Any vector that begins at the origin can easily be translated into a directional angle • This is usually done with a tangent ratio • Keep an eye out for 30,45,60 degree angles using the triangles!
Finding the directional angle of a vector • Example 1 – Uses the special triangles • U = 3i + 3j • Convert to i/j coordinates • Plot vector • Set up tangent ratio • Find reference angle • Use Quadrant to specify directional angle
Finding the directional angle of a vector • Example 2 – Does not use the special triangles • V = 3i – 4j