Vector Addition and Subtraction in Three Dimensions
Students will perform addition and subtraction of 2D vectors graphically (triangle/parallelogram rule) and algebraically.
Key Questions
- How are vector addition and subtraction carried out using column vectors in three dimensions, and what geometric interpretations — via the triangle and parallelogram laws — do these operations carry in 3D space?
- Explain how the displacement between two points in three-dimensional space is expressed as a vector, and apply this to calculate distances and midpoints.
- Analyse a problem involving multiple forces or displacements in 3D, construct the resultant vector using component addition, and interpret the result geometrically.
MOE Syllabus Outcomes
Suggested Methodologies
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