Year 12 · Specialist Mathematics

Vector and Cartesian equations

Free examples and worked answers. No account needed.

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Practise the method.

Points on lines, normal vectors and planes.

Example 1

xyz3D orthographic view · equal spatial units
Move along the given line. Lavender marks its stated starting point; gold marks the question parameter. Component guides carry no solved coordinate labels.
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Answer:

Example 2

xyz3D orthographic view · equal spatial units
Rotate the plane and the gold vertical probe x = 2, y = 1. Their crossing is not labelled with a solved z-value.
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Answer:

Example 3

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Answer: