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What's on the worksheet
- Find each scalar multiple.-5\langle 3, -2 \rangle-\dfrac{1}{6}\langle 9, -15 \rangle-\dfrac{2}{5}(10\mathbf{i} - 3\mathbf{j})\sqrt{2}\langle \sqrt{2}, -3\sqrt{2} \rangle
- Use \|kv\| = |k|\,\|v\|.
- x y v p q r s w The grid shows the arrow v and five more arrows p, q, r, s and w.
- Decide whether the two vectors are parallel.
- Find every value of t for which t - 2, t² - 4 is parallel to 1, -1.
- A window-cleaning rig moves across the flat glass front of an office tower.
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Scaling a vector: the lesson ›More Chapter 8 worksheets: Vectors and parametric equations
- 8.1Directed line segments
- 8.2Component form of a vector
- 8.3Magnitude and direction of a vector
- 8.4Unit vectors and i, j notation
- 8.5Scaling a vector
- 8.6Adding and subtracting vectors
- 8.7Forces and velocities as vectors
- 8.8The dot product and the angle between vectors
- 8.9Orthogonal vectors
- 8.10Vector and scalar projection
- 8.11Vectors in space
- 8.12Parametric equations
- 8.13Eliminating the parameter