Analytic Geometry
Virginia SOL MA.AG.3
Perform operations with vectors in the coordinate plane.
What students need to be able to do
- Use vector notation.
- Perform vector addition graphically.
- Perform vector subtraction graphically.
- Perform scalar multiplication on vectors graphically.
- Perform vector addition algebraically.
- Perform vector subtraction algebraically.
- Perform scalar multiplication on vectors algebraically.
- Find the dot (inner) product of two vectors.
- Use the dot product to determine the angle between two vectors.
- Determine if two vectors are orthogonal.
- Express complex numbers in vector notation.
- Verify properties of the dot product.
- Determine the components of a vector.
- Determine the norm (magnitude) of a vector.
- Find a unit vector in the same direction of a given vector.
- Apply vectors to problems in context.