The distance from a point S(x,, Yo, Zo) to a plane M: ax + by + cz + d = 0 is given by|n · PS|d =|n|Use the above information to show thatJax, + byo + cz, + d]d =Va? + b2 + c2(2 morke

From a point S(x0,y0,z0) to the plane M = ax+by+cz+d=0 Let S1=x1,y1z1 be any point in the given…

Answered: The distance from a point S(xo,yo, Zo)…

The distance from a point S(xo,yo, Zo) to a plane M: ax + by + cz + d = 0 is given by |n · PS| d In| Use the above information to show that Jaxo + byo + cz, + d[| d = Va? + b² + c2

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.1: The Coordinate Plane

Problem 34E: In these exercises we find the area of plane figures. Plot the points P(5,1),Q(0,6) and R(5,1) on a...

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

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The distance from a point S(x,, Yo, Zo) to a plane M: ax + by + cz + d = 0 is given by
|n · PS|
d =
|n|
Use the above information to show that
Jax, + byo + cz, + d]
d =
Va? + b2 + c2
(2 morke

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