7. Given points A(6,−2,1) B(0,5,6) and C(−3,–5,2) a) Find the vector equation of the line through A and B b) Find the distance from point C to line in part a) c) Determine the scalar equation of the plane containing points A, B, and C.

7. Given points A(6,−2,1) B(0,5,6) and C(−3,–5,2) a) Find the vector equation of the line through A and B b) Find the distance from point C to line in part a) c) Determine the scalar equation of the plane containing points A, B, and C.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 9E

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Please help on all asked questions. Please show all work and steps. Please circle the final answer.

7.
Given points A(6,−2,1) B(0,5,6) and C(−3,–5,2)
a) Find the vector equation of the line through A and B
b) Find the distance from point C to line in part a)
c) Determine the scalar equation of the plane containing points A, B, and C.

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