4. (a) Describe the three-dimensional coordinate system. What are the coordinate planes? (b) What is the distance from the point (3, –2, 5) to each of the coordinate planes? (c) State the formula for the distance between the points P(x1, yi, 21) and Q(x2, Y2, =2). (d) Find the distance between the points P(1, 2, 3) and Q(3, -1, 4). (e) State the equation of a sphere with center C(h, k, I) and radius r.

4. (a) Describe the three-dimensional coordinate system. What are the coordinate planes? (b) What is the distance from the point (3, –2, 5) to each of the coordinate planes? (c) State the formula for the distance between the points P(x1, yi, 21) and Q(x2, Y2, =2). (d) Find the distance between the points P(1, 2, 3) and Q(3, -1, 4). (e) State the equation of a sphere with center C(h, k, I) and radius r.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.CR: Chapter Review

Problem 4CC

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The point that is 2 units to the left of the y-axis and 4 units above the x-axis has coordinates (______ , ________ ).
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