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Solve the following.

Find the length of the perpendicular from origin to the plane .

Mathematics20192 marksNumerical
Find the length of the perpendicular from origin to the plane $\vec{r} \cdot (3\hat{i} - 4\hat{j} - 12\hat{k}) + 39 = 0$.

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Three-dimensional Geometry

From ISC 2019 Mathematics Paper 1, question 15(b).

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