Quick questions on Vectors: components, magnitude, addition and position vectors in two dimensions - 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} = 6\mathbf{i} - 8\mathbf{j}

. [2 marks]

What is q2?

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Given

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

and

\mathbf{b} = \mathbf{i} - 3\mathbf{j}

, find

3\mathbf{a} - \mathbf{b}

. [2 marks]

What is q3?

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Points

P

and

Q

have position vectors

\mathbf{i} + \mathbf{j}

and

5\mathbf{i} + 9\mathbf{j}

. Find the position vector of the midpoint. [2 marks]

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