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Year 12 Specialist (Unit 3 & 4) Vector equations

Distances, angles and intersections

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Questions
Question 1
162844

Find the distance from the point \((-1,2,3)\) to each of the following planes:
i) \(r \cdot(3 i+4 j+5 k)=4\)
ii) \(4 x+4 y+3 z=6\)

i) \(\dfrac{8 \sqrt{2}}{5}\)
ii) \(\dfrac{7}{\sqrt{41}}\)

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