Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 9, Problem 13SP
To determine
To Find: Equation of the plane passing through the point
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Determine an equation of the line passing through the points
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How far away is the point P(2, 1, 2) from the line in problem 3?
23. Match the equations listed in parts (a)–(d) to the graphs in the ac-
companying figure.
a. y = (x - 1)2 - 4
c. y (x +2) +2
b. y = (x - 2) + 2
d. y = (x + 3)- 2
Position 2
Position I
(-2, 2)
Position 3
4 -3 -2/-0 I 23
(2, 2)
Position 4/
(-3, -2)
(1, -4)
3.
14. Determine an equation of a plane parallel to a coordinate plane
that contains the given pair of points.
(a) (3, 4, −5), (−2, 8, −5)
In Problems 21 and 22, find the distance between the given points.
21. (3,−1, 2), (6, 4, 8)
7.3
In Problems 1–12, a = (2, −3, 4), b = (− 1, 2, 5), and
c = (3, 6, − 1). Find the indicated scalar or vector.
6. b. (ac)
Chapter 9 Solutions
Calculus
Ch. 9.1 - Prob. 1PSCh. 9.1 - Prob. 2PSCh. 9.1 - Prob. 3PSCh. 9.1 - Prob. 4PSCh. 9.1 - Prob. 5PSCh. 9.1 - Prob. 6PSCh. 9.1 - Prob. 7PSCh. 9.1 - Prob. 8PSCh. 9.1 - Prob. 9PSCh. 9.1 - Prob. 10PS
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Prob. 58PSCh. 9.7 - Prob. 59PSCh. 9.7 - Prob. 60PSCh. 9 - Prob. 1PECh. 9 - Prob. 2PECh. 9 - Prob. 3PECh. 9 - Prob. 4PECh. 9 - Prob. 5PECh. 9 - Prob. 6PECh. 9 - Prob. 7PECh. 9 - Prob. 8PECh. 9 - Prob. 9PECh. 9 - Prob. 10PECh. 9 - Prob. 11PECh. 9 - Prob. 12PECh. 9 - Prob. 13PECh. 9 - Prob. 14PECh. 9 - Prob. 15PECh. 9 - Prob. 16PECh. 9 - Prob. 17PECh. 9 - Prob. 18PECh. 9 - Prob. 19PECh. 9 - Prob. 20PECh. 9 - Prob. 21PECh. 9 - Prob. 22PECh. 9 - Prob. 23PECh. 9 - Prob. 24PECh. 9 - Prob. 25PECh. 9 - Prob. 26PECh. 9 - Prob. 27PECh. 9 - Prob. 28PECh. 9 - Prob. 29PECh. 9 - Prob. 30PECh. 9 - Prob. 1SPCh. 9 - Prob. 2SPCh. 9 - Prob. 3SPCh. 9 - Prob. 4SPCh. 9 - Prob. 5SPCh. 9 - Prob. 6SPCh. 9 - Prob. 7SPCh. 9 - Prob. 8SPCh. 9 - Prob. 9SPCh. 9 - Prob. 10SPCh. 9 - Prob. 11SPCh. 9 - Prob. 12SPCh. 9 - Prob. 13SPCh. 9 - Prob. 14SPCh. 9 - Prob. 15SPCh. 9 - Prob. 16SPCh. 9 - Prob. 17SPCh. 9 - Prob. 18SPCh. 9 - Prob. 19SPCh. 9 - Prob. 20SPCh. 9 - Prob. 21SPCh. 9 - Prob. 22SPCh. 9 - Prob. 23SPCh. 9 - Prob. 24SPCh. 9 - 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- 1. The three points A = (-2, -4), B = (6,2) and C = (-3,3) are taken as the vertices of a triangle T. (a) Find the equations of the three altitudes of T. (b) Determine the orthocentre X of T. 2. A ball is thrown from a height of 1.5 metres on the Moon with an initial (upwards) vertical component of velocity of 20 metres per second. You may assume that the acceleration due to gravity on the Moon is gmoon = 1.62 metres per second per second. (a) How long does the ball take to reach the ground? (b) After how long does it reach its maximum height and what is this? (c) The ball hits the ground at a horizontal distance of 100 metres from where it was thrown. What was the horizontal component of its velocity?arrow_forwardProblem 2. Find an equation of the plane that passes through the point (1, 0, -3) and contains the line, x = 3-7t y=6+5t z=4+8t.arrow_forward#26). Both photos are the same problem.arrow_forward
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