VECTORS
Vectors representation
- Represent a vector in 3 dimensional space
- Find unit vector in a given direction 3-dimensional space
- Derive ratio theorem
Dot products
- Calculate dot product of vectors
- Find angle between two vectors
- Find projection of a vector onto another vector
- Find work done by a force
- Prove cosine rule using dot product of vectors
Cross product
- Define a cross product of two vectors
- Calculate cross products of vectors
- Determine the angle between two vectors
- Use cross product of vectors to calculate the area of triangle and a parallelogram
- Prove sine rule using cross product of two vectors
Vector Differentiation and integration
- Differentiate and integrate a vector
- Express velocity and acceleration as derivatives of displacement