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There are two solar panels, A and B placed parallel to each other on the terrace of a building. The…

Mathematics20251 markShort answer
There are two solar panels, A and B placed parallel to each other on the terrace of a building. The equation of the surface of the panel A is $2x + 2y - z + 9 = 0$. Find the distance between the panels.

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AI
Distance between the parallel planes $2x + 2y - z + 9 = 0$ and $2x + 2y - z - 14 = 0$: $d = \dfrac{|9 - (-14)|}{\sqrt{2^2 + 2^2 + (-1)^2}} = \dfrac{23}{3}$ units.
Three-dimensional Geometry

From ISC 2025 Improvement Mathematics Paper 1, question 15(ii)(d).

Check your working with the 3D geometry and vectors calculator: points, vectors, lines and planes: distances, angles, foot and image, shortest distance, intersections.