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Core Pure: further vectors and planes

Quick questions on Distances and angles in 3D: line-plane angles, point-to-plane distance and skew lines - OCR A-Level Further Maths A

2short 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 acute angle between lines with directions i+j\mathbf{i} + \mathbf{j} and ij\mathbf{i} - \mathbf{j}. [2 marks]
What is q2?
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Find the distance from the origin to the plane 2x+2y+z=92x + 2y + z = 9. [2 marks]

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