MEX-V1
Vectors in Three Dimensions
Represent and manipulate vectors in 3D; compute dot and cross products; apply to lines and planes.
Sample questions
- 1.Find the angle between vectors a = i + 2j − k and b = 3i − j + 2k.
- 2.Find the equation of the plane containing the point (1, 2, −1) with normal vector n = 2i − j + 3k.
Exam weighting
4–6 marks.
Common student mistakes
- ·Incorrect cross product computation (sign of the middle term)
- ·Confusing parallel and perpendicular conditions (dot product = 0 vs cross product = 0)
- ·Errors when finding the angle between lines using direction vectors
Other Extension 2 topics
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