Vectors

Taking vectors into three dimensions with a third unit vector, k. Almost every Year 1 technique carries straight over — the new skill is working with points, lines and forces in 3-D space.

• An Overview — the language of vectors, the core techniques, and the common mistakes

The content statements

• Vectors in Three Dimensions — i, j, k and column vectors, magnitude and distance, position vectors, collinearity, parallelograms and ratios, and forces as 3-D vectors

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Each page has step-by-step notes, several worked examples, a quick-reference grid and ten practice questions with fully worked solutions.