2. Let P be a point not on the plane that passes through the points Q, R, and S.a. Show that the distance d from P to the plane is|ã. (b × c)|à x blWhere a = QR, b = QS, and c = QP.b. Use the formula in part a to find the distance from the point P(2,1,4) to the plane through the points Q (1,0,0), R(0,2,0), andS(0,0,3).d =

Answered: Image /qna-images/answer/ac50af28-2d34-4a55-a9fd-c229c360da2d.jpg

2. Let P be a point not on the plane that passes through the points Q, R, and S. a. Show that the distance d from P to the plane is |ã. (bx c) |ax b| Where a = QR, b = QS, and c = QP. d = b. Use the formula in part a to find the distance from the point P (2,1,4) to the plane through the points Q (1,0,0), R(0,2,0), and S(0,0,3).

2. Let P be a point not on the plane that passes through the points Q, R, and S. a. Show that the distance d from P to the plane is |ã. (bx c) |ax b| Where a = QR, b = QS, and c = QP. d = b. Use the formula in part a to find the distance from the point P (2,1,4) to the plane through the points Q (1,0,0), R(0,2,0), and S(0,0,3).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.1: Early Definitions And Postulates

Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...

See similar textbooks

Similar questions

Use drawings, as needed, to answer each question. In a plane lm and tm. By appearance, how are l and t related?
Note: Exercises preceded by an asterisk are of a more challenging nature. In the figure, which of the points A,B,C,D, and E belong to the locus of points in the plane that are at distance r from point P?
Draw and describe the locus of points in the plane that are equidistant from parallel lines l and m. _________________________________________ ________________________________________
Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle.
Let A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or false. a B lies between A and C. b AB is a ray with endpoint B.
Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how many planes are determined by these points?