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Paper 3
Vectors
Higher
Draw vectors as arrows with direction and magnitude.
Key Facts
- Parallel vectors are scalar multiples.
- Use column vectors for 2D coordinates.
Topics Covered
Vector Algebra
What you need to know
- •Add and subtract vectors component-wise.
- •Scalar multiples scale vectors.
Exam Tips
- Label points A, B, C clearly.
Vector Proof
What you need to know
- •Use position vectors to show parallel lines.
Exam Tips
- State when two vectors are equal or multiples.
Key Terms
Scalar multiple
A vector multiplied by a single number.
Position vector
Vector from the origin to a point.
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Common Exam Questions
Find 3(2, -1) + (4, 5).
2 markseasyPaper 3
Model Answer
(10, 2)
What examiners want to see
- ✓Multiply then add components.
Show that vectors (6, 9) and (2, 3) are parallel.
2 markseasyPaper 3
Model Answer
(6, 9) = 3(2, 3)
What examiners want to see
- ✓State scalar multiple.
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