Quick questions on Scalar and vector products: dot product for angles, cross product for normals and areas - OCR A-Level Further Maths A

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 sign errors in the cross-product determinant?

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The middle (

\mathbf{j}

) component carries a minus sign; dropping it flips that component.

What is q1?

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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} + \mathbf{k}

. [2 marks]

What is q2?

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State a unit vector perpendicular to both

\mathbf{i}

and

\mathbf{j}

. [1 mark]

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