Introduction to Vectors

We estimate ME12-VE is worth about 14 marks out of 100 under the new Mathematics Extension 1 syllabus. Practise 26 exam-style questions (multi-part, multiple choice, numerical answer, algebraic answer) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

What is the magnitude of $(3 - 4)$ ?

A $5$
B $25$
C $7$
D $1$

Example 2 · 4 marks · multi-part

Let $\sim u = 3 \sim i - 4 \sim j$ and $\sim v = 5 \sim i + 12 \sim j$ .

Example 3 · 2 marks · multi-part

Let $\sim a = 2 \sim i + \sim j$ and $\sim b = 4 \sim i - 3 \sim j$ . The projection of $\sim a$ onto $\sim b$ is $proj_{\sim b} \sim a = \frac{\sim a \cdot \sim b}{\sim b \cdot \sim b} \sim b$ .

Answers and worked solutions appear when you practise these questions.

Introduction to Vectors

Example questions

Other Mathematics Extension 1 topics