ModelCourses/Calculus/Vectors/Vectors in Space

Vectors in Space

Vector Algebra
- Identifying points in space given the coordinates
- Identifying the coordinates of points in space given a dynamic 3d graph of the points
The Dot Product of Two Vectors
- Calculating the standard collection of numerical examples
- Parallel and geometric implications
  - Given a particular vector, create other parallel vectors of desired length
- Angle between vectors, orthogonality and cos(theta)
  - Given two vectors, determine the angle between
  - Given one vector and an angle, determine another other vector with the desired angle. Maybe give part of the second vector.
  - Given one 2d vector, determine another vector which is orthogonal
The Cross Product of Two Vectors in Space
- Calculating the standard collection of numerical examples
- Orthogonality
  - Given a vector, determine another vector which is orthogonal
- Orthogonality between three vectors
  - Given two vectors, determine a vector which is normal

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