Quick questions on Vectors: three-dimensional vectors, the scalar product and the angle between vectors - CCEA A-Level Mathematics

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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Find the magnitude of

\mathbf{v} = 2\mathbf{i} - \mathbf{j} + 2\mathbf{k}

. [2 marks]

What is q2?

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Find

\mathbf{a} \cdot \mathbf{b}

for

\mathbf{a} = \mathbf{i} + 2\mathbf{j} + 3\mathbf{k}

and

\mathbf{b} = 4\mathbf{i} - \mathbf{j} + 2\mathbf{k}

. [2 marks]

What is q3?

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What does

\mathbf{a} \cdot \mathbf{b} = 0

tell you about two non-zero vectors? [1 mark]

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