Developmental Mathematics (9th Edition)
Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter 13.3, Problem 17MCR
To determine

To calculate: The solution of the system by using substitution method: x+y=1, 3x+6y=1

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(4) (8 points) (a) (2 points) Write down a normal vector n for the plane P given by the equation x+2y+z+4=0. (b) (4 points) Find two vectors v, w in the plane P that are not parallel. (c) (2 points) Using your answers to part (b), write down a parametrization r: R² — R3 of the plane P.
(2) (8 points) Determine normal vectors for the planes given by the equations x-y+2z = 3 and 2x + z = 3. Then determine a parametrization of the intersection line of the two planes.
(3) (6 points) (a) (4 points) Find all vectors u in the yz-plane that have magnitude [u also are at a 45° angle with the vector j = (0, 1,0). = 1 and (b) (2 points) Using the vector u from part (a) that is counterclockwise to j, find an equation of the plane through (0,0,0) that has u as its normal.

Chapter 13 Solutions

Developmental Mathematics (9th Edition)

Ch. 13.1 - Prob. 1CCE1Ch. 13.1 - Prob. 2CCE1Ch. 13.1 - Prob. 3CCE1Ch. 13.1 - Prob. 1RCCh. 13.1 - Prob. 2RCCh. 13.1 - Prob. 3RCCh. 13.1 - Prob. 4RCCh. 13.1 - Prob. 1ESCh. 13.1 - Prob. 2ESCh. 13.1 - Prob. 3ESCh. 13.1 - Prob. 4ESCh. 13.1 - Prob. 5ESCh. 13.1 - Prob. 6ESCh. 13.1 - Prob. 7ESCh. 13.1 - Prob. 8ESCh. 13.1 - Prob. 9ESCh. 13.1 - Prob. 10ESCh. 13.1 - Prob. 11ESCh. 13.1 - Prob. 12ESCh. 13.1 - Prob. 13ESCh. 13.1 - Prob. 14ESCh. 13.1 - Prob. 15ESCh. 13.1 - Prob. 16ESCh. 13.1 - Prob. 17ESCh. 13.1 - Prob. 18ESCh. 13.1 - Prob. 19ESCh. 13.1 - Prob. 20ESCh. 13.1 - Prob. 21ESCh. 13.1 - Prob. 22ESCh. 13.1 - Prob. 23ESCh. 13.1 - Prob. 24ESCh. 13.1 - Prob. 25ESCh. 13.1 - Prob. 26ESCh. 13.1 - Prob. 27ESCh. 13.1 - Prob. 28ESCh. 13.1 - Prob. 29ESCh. 13.1 - Prob. 30ESCh. 13.1 - Prob. 31ESCh. 13.1 - Prob. 32ESCh. 13.1 - Prob. 33ESCh. 13.1 - Prob. 34ESCh. 13.1 - Prob. 35ESCh. 13.1 - Prob. 36ESCh. 13.1 - Prob. 37ESCh. 13.1 - Prob. 38ESCh. 13.1 - Prob. 39ESCh. 13.1 - Prob. 40ESCh. 13.1 - Prob. 41ESCh. 13.2 - Prob. 1SRCh. 13.2 - Prob. 2SRCh. 13.2 - Prob. 1DECh. 13.2 - Prob. 2DECh. 13.2 - Prob. 3DECh. 13.2 - Prob. 4DECh. 13.2 - Prob. 1RCCh. 13.2 - Prob. 2RCCh. 13.2 - Prob. 3RCCh. 13.2 - Prob. 4RCCh. 13.2 - Prob. 1ESCh. 13.2 - Prob. 2ESCh. 13.2 - Prob. 3ESCh. 13.2 - Prob. 4ESCh. 13.2 - Prob. 5ESCh. 13.2 - Prob. 6ESCh. 13.2 - Prob. 7ESCh. 13.2 - Prob. 8ESCh. 13.2 - Prob. 9ESCh. 13.2 - Prob. 10ESCh. 13.2 - Prob. 11ESCh. 13.2 - Prob. 12ESCh. 13.2 - Prob. 13ESCh. 13.2 - Prob. 14ESCh. 13.2 - Prob. 15ESCh. 13.2 - Prob. 16ESCh. 13.2 - Prob. 17ESCh. 13.2 - Prob. 18ESCh. 13.2 - Prob. 19ESCh. 13.2 - Prob. 20ESCh. 13.2 - Prob. 21ESCh. 13.2 - Prob. 22ESCh. 13.2 - Prob. 23ESCh. 13.2 - Prob. 24ESCh. 13.2 - Prob. 25ESCh. 13.2 - Prob. 26ESCh. 13.2 - Prob. 27ESCh. 13.2 - Prob. 28ESCh. 13.2 - Prob. 29ESCh. 13.2 - Prob. 30ESCh. 13.2 - Prob. 31ESCh. 13.2 - Prob. 32ESCh. 13.2 - Prob. 33ESCh. 13.2 - Prob. 34ESCh. 13.2 - Prob. 35ESCh. 13.2 - Prob. 36ESCh. 13.2 - Prob. 37ESCh. 13.2 - Prob. 38ESCh. 13.2 - Prob. 39ESCh. 13.2 - Prob. 40ESCh. 13.2 - Prob. 41ESCh. 13.2 - Prob. 42ESCh. 13.2 - Prob. 43ESCh. 13.2 - Prob. 44ESCh. 13.2 - Prob. 45ESCh. 13.2 - Prob. 46ESCh. 13.2 - Prob. 47ESCh. 13.2 - Prob. 48ESCh. 13.2 - Prob. 49ESCh. 13.2 - Prob. 50ESCh. 13.2 - Prob. 51ESCh. 13.2 - Prob. 52ESCh. 13.2 - Prob. 53ESCh. 13.2 - Prob. 54ESCh. 13.2 - Prob. 55ESCh. 13.2 - Prob. 56ESCh. 13.3 - Prob. 1SRCh. 13.3 - Prob. 2SRCh. 13.3 - Prob. 1DECh. 13.3 - Prob. 2DECh. 13.3 - Prob. 3DECh. 13.3 - Prob. 4DECh. 13.3 - Prob. 5DECh. 13.3 - Prob. 6DECh. 13.3 - 7. Solve the system Ch. 13.3 - Prob. 8DECh. 13.3 - Prob. 9DECh. 13.3 - Prob. 10DECh. 13.3 - Prob. 11DECh. 13.3 - Prob. 1RCCh. 13.3 - Prob. 2RCCh. 13.3 - Prob. 3RCCh. 13.3 - Prob. 4RCCh. 13.3 - Prob. 5RCCh. 13.3 - Prob. 6RCCh. 13.3 - Prob. 1ESCh. 13.3 - Prob. 2ESCh. 13.3 - Prob. 3ESCh. 13.3 - Prob. 4ESCh. 13.3 - Prob. 5ESCh. 13.3 - Prob. 6ESCh. 13.3 - Prob. 7ESCh. 13.3 - Prob. 8ESCh. 13.3 - Prob. 9ESCh. 13.3 - Prob. 10ESCh. 13.3 - Prob. 11ESCh. 13.3 - Prob. 12ESCh. 13.3 - Prob. 13ESCh. 13.3 - Prob. 14ESCh. 13.3 - Prob. 15ESCh. 13.3 - Prob. 16ESCh. 13.3 - Prob. 17ESCh. 13.3 - Prob. 18ESCh. 13.3 - Prob. 19ESCh. 13.3 - Prob. 20ESCh. 13.3 - Prob. 21ESCh. 13.3 - Prob. 22ESCh. 13.3 - Prob. 23ESCh. 13.3 - Prob. 24ESCh. 13.3 - Prob. 25ESCh. 13.3 - Prob. 26ESCh. 13.3 - Prob. 27ESCh. 13.3 - Prob. 28ESCh. 13.3 - Prob. 29ESCh. 13.3 - Prob. 30ESCh. 13.3 - Prob. 31ESCh. 13.3 - Prob. 32ESCh. 13.3 - Prob. 33ESCh. 13.3 - Prob. 34ESCh. 13.3 - Prob. 35ESCh. 13.3 - Prob. 36ESCh. 13.3 - Prob. 37ESCh. 13.3 - Prob. 38ESCh. 13.3 - Prob. 39ESCh. 13.3 - Prob. 40ESCh. 13.3 - Prob. 41ESCh. 13.3 - Prob. 42ESCh. 13.3 - Prob. 43ESCh. 13.3 - Prob. 44ESCh. 13.3 - Prob. 45ESCh. 13.3 - Prob. 46ESCh. 13.3 - Prob. 47ESCh. 13.3 - Prob. 48ESCh. 13.3 - Prob. 49ESCh. 13.3 - Prob. 50ESCh. 13.3 - Prob. 51ESCh. 13.3 - Prob. 52ESCh. 13.3 - Prob. 53ESCh. 13.3 - Prob. 54ESCh. 13.3 - Prob. 55ESCh. 13.3 - Prob. 56ESCh. 13.3 - Prob. 57ESCh. 13.3 - Prob. 58ESCh. 13.3 - Prob. 59ESCh. 13.3 - Prob. 60ESCh. 13.3 - Prob. 61ESCh. 13.3 - Prob. 62ESCh. 13.3 - Prob. 1MCRCh. 13.3 - Prob. 2MCRCh. 13.3 - Prob. 3MCRCh. 13.3 - Prob. 4MCRCh. 13.3 - Prob. 5MCRCh. 13.3 - Prob. 6MCRCh. 13.3 - Prob. 7MCRCh. 13.3 - Prob. 8MCRCh. 13.3 - Prob. 9MCRCh. 13.3 - Prob. 10MCRCh. 13.3 - Prob. 11MCRCh. 13.3 - Prob. 12MCRCh. 13.3 - Prob. 13MCRCh. 13.3 - Prob. 14MCRCh. 13.3 - Prob. 15MCRCh. 13.3 - Prob. 16MCRCh. 13.3 - Prob. 17MCRCh. 13.3 - Prob. 18MCRCh. 13.3 - Prob. 19MCRCh. 13.3 - Prob. 20MCRCh. 13.3 - Prob. 21MCRCh. 13.3 - Prob. 22MCRCh. 13.3 - Prob. 23MCRCh. 13.3 - Prob. 24MCRCh. 13.3 - Prob. 25MCRCh. 13.3 - Prob. 26UTDWCh. 13.3 - Prob. 27UTDWCh. 13.3 - Prob. 28UTDWCh. 13.3 - Prob. 29UTDWCh. 13.4 - Prob. 1SRCh. 13.4 - Prob. 2SRCh. 13.4 - Prob. 1DECh. 13.4 - Prob. 2DECh. 13.4 - Prob. 3DECh. 13.4 - Prob. 4DECh. 13.4 - Prob. 5DECh. 13.4 - Prob. 1RCCh. 13.4 - Prob. 2RCCh. 13.4 - Prob. 3RCCh. 13.4 - Prob. 4RCCh. 13.4 - Solve. Assignments. The professor teaching...Ch. 13.4 - Prob. 2ESCh. 13.4 - Prob. 3ESCh. 13.4 - Prob. 4ESCh. 13.4 - Prob. 5ESCh. 13.4 - Prob. 6ESCh. 13.4 - Prob. 7ESCh. 13.4 - Solve. 8. Basketball Scoring. Tony Parker of the...Ch. 13.4 - Prob. 9ESCh. 13.4 - Prob. 10ESCh. 13.4 - Prob. 11ESCh. 13.4 - Prob. 12ESCh. 13.4 - Prob. 13ESCh. 13.4 - Prob. 14ESCh. 13.4 - Prob. 15ESCh. 13.4 - Prob. 16ESCh. 13.4 - Prob. 17ESCh. 13.4 - Solve. Coffee Blends. The Java Joint wishes to mix...Ch. 13.4 - Prob. 19ESCh. 13.4 - Prob. 20ESCh. 13.4 - Prob. 21ESCh. 13.4 - Prob. 22ESCh. 13.4 - Prob. 23ESCh. 13.4 - Prob. 24ESCh. 13.4 - Prob. 25ESCh. 13.4 - Prob. 26ESCh. 13.4 - Prob. 27ESCh. 13.4 - Prob. 28ESCh. 13.4 - Prob. 29ESCh. 13.4 - Prob. 30ESCh. 13.4 - Prob. 31ESCh. 13.4 - Prob. 32ESCh. 13.4 - Prob. 33ESCh. 13.4 - Prob. 34ESCh. 13.4 - Prob. 35ESCh. 13.4 - Prob. 36ESCh. 13.4 - Prob. 37ESCh. 13.4 - Prob. 38ESCh. 13.4 - Prob. 39ESCh. 13.4 - Prob. 40ESCh. 13.4 - Prob. 41ESCh. 13.4 - Prob. 42ESCh. 13.4 - Prob. 43ESCh. 13.4 - Prob. 44ESCh. 13.4 - Prob. 45ESCh. 13.4 - Prob. 46ESCh. 13.4 - Prob. 47ESCh. 13.4 - Prob. 48ESCh. 13.4 - Prob. 49ESCh. 13.4 - Prob. 50ESCh. 13.4 - Prob. 51ESCh. 13.4 - Prob. 52ESCh. 13.4 - Prob. 53ESCh. 13.4 - Prob. 54ESCh. 13.4 - Automobile Maintenance. An automobile radiator...Ch. 13.4 - Prob. 56ESCh. 13.4 - Prob. 57ESCh. 13.5 - Prob. 1SRCh. 13.5 - Prob. 2SRCh. 13.5 - Prob. 1DECh. 13.5 - Prob. 2DECh. 13.5 - Prob. 3DECh. 13.5 - Prob. 4DECh. 13.5 - Prob. 1TFSCh. 13.5 - Prob. 2TFSCh. 13.5 - Prob. 3TFSCh. 13.5 - Prob. 4TFSCh. 13.5 - Prob. 5TFSCh. 13.5 - Prob. 6TFSCh. 13.5 - Prob. 7TFSCh. 13.5 - Prob. 8TFSCh. 13.5 - Prob. 9TFSCh. 13.5 - Prob. 10TFSCh. 13.5 - Prob. 1RCCh. 13.5 - Prob. 2RCCh. 13.5 - Prob. 3RCCh. 13.5 - Prob. 4RCCh. 13.5 - Prob. 1ESCh. 13.5 - Solve. In Exercises 1-6, complete the chart to aid...Ch. 13.5 - Prob. 3ESCh. 13.5 - Prob. 4ESCh. 13.5 - Prob. 5ESCh. 13.5 - Prob. 6ESCh. 13.5 - Prob. 7ESCh. 13.5 - Prob. 8ESCh. 13.5 - Prob. 9ESCh. 13.5 - Prob. 10ESCh. 13.5 - Prob. 11ESCh. 13.5 - Prob. 12ESCh. 13.5 - Prob. 13ESCh. 13.5 - Prob. 14ESCh. 13.5 - Prob. 15ESCh. 13.5 - Prob. 16ESCh. 13.5 - Prob. 17ESCh. 13.5 - Prob. 18ESCh. 13.5 - Prob. 19ESCh. 13.5 - Prob. 20ESCh. 13 - Complete each statement with the correct term from...Ch. 13 - Prob. 2VRCh. 13 - Prob. 3VRCh. 13 - Prob. 4VRCh. 13 - Prob. 5VRCh. 13 - Prob. 6VRCh. 13 - Prob. 1CORCh. 13 - Prob. 2CORCh. 13 - Prob. 3CORCh. 13 - Prob. 4CORCh. 13 - Prob. 1SGPECh. 13 - Prob. 2SGPECh. 13 - Prob. 3SGPECh. 13 - Prob. 4SGPECh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Solve. [ 13.2c ],[ 13.4a ] Rectangle Dimensions....Ch. 13 - Prob. 24RECh. 13 - Solve. [ 13.2c ],[ 13.4a ] Window Cleaner. Clear...Ch. 13 - Solve. [ 13.2c ],[ 13.4a ] Weights of Elephants. A...Ch. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Solve. 32. Air Travel. An airplane flew for 4 hr...Ch. 13 - Solve. [ 13.5a ] Car Travel. One car leaves...Ch. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Ancient Chinese Math Problem. Several ancient...Ch. 13 - Prob. 1UTDWCh. 13 - Prob. 2UTDWCh. 13 - Prob. 3UTDWCh. 13 - Discuss the advantages of using a chart to...Ch. 13 - Prob. 1TCh. 13 - Prob. 2TCh. 13 - Prob. 3TCh. 13 - Prob. 4TCh. 13 - Prob. 5TCh. 13 - Prob. 6TCh. 13 - Prob. 7TCh. 13 - Prob. 8TCh. 13 - Prob. 9TCh. 13 - Prob. 10TCh. 13 - Solve. 11. Mixture of Solutions. Solution A is 25%...Ch. 13 - Prob. 12TCh. 13 - Solve. 13. Carnival Income. A traveling carnival...Ch. 13 - Prob. 14TCh. 13 - Prob. 15TCh. 13 - Prob. 16TCh. 13 - Prob. 17TCh. 13 - Prob. 18TCh. 13 - Prob. 19TCh. 13 - Prob. 20TCh. 13 - Prob. 21TCh. 13 - Prob. 22T
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