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Geometry, Proof and Systems of Equations

Quick questions on Vectors, lines and planes in 3D: scalar and vector products - SQA Advanced Higher Maths

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 slips in the vector product?
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The middle component is a3b1−a1b3a_3 b_1 - a_1 b_3, with the order reversed; many candidates write it the wrong way round.
What is q1?
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Are (1,2,−1)(1, 2, -1) and (2,−1,0)(2, -1, 0) perpendicular? [1 mark]
What is q2?
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Write the plane with normal (1,1,1)(1, 1, 1) through (2,0,1)(2, 0, 1) in Cartesian form. [2 marks]

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