Distance From a Point to a Plane in 3D-Space Date of Exam May 2016 Subject Mathematics, Surveying and Transportation Engineering Problem Find the distance from the point A(1, 5, -3) to the plane 4x + y + 8z + 33 = 0. A. 1/2 C. 2/3 B. 2 D. 1.5 Answer Key Click here to show or hide the Answer Key [ B ] Solution Click here to expand or collapse this section $d = \left| \dfrac{ax_1 + by_1 + cz_1 + d}{\sqrt{a^2 + b^2 + c^2}} \right|$ $d = \left| \dfrac{4(1) + 1(5) + 8(-3) + 33}{\sqrt{4^2 + 1^2 + 8^2}} \right|$ $d = 2 ~ \text{units}$ ← Answer: [ B ] Category Analytic Geometry Space Coordinates Distance From a Plane to a Point Log in to post comments
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