Explanation Given: The line crosses x -axis at x = 2 and crosses the z -axis at z = − 4 . Approach: The parametric equation of the line passing through a point P ( x 0 , y 0 , z 0 ) and parallel to the vector v = a i + b j + c k is given as, x = x 0 + a t ... ( 1 ) y = y 0 + b t … ( 2 ) z = z 0 + c t … ( 3 ) Here, t is any real number. The vector P Q → with initial point P ( x 1 , y 1 , z 1 ) and terminal point Q ( x 2 , y 2 , z 2 ) is given as, P Q → = ( x 2 − x 1 ) i + ( y 2 − y 1 ) j + ( z 2 − z 1 ) k ... ( 4 ) Calculation: The line crosses x -axis at x = 2 so it passes through the point P ( 2 , 0 , 0 ) and it crosses the z -axis at z = − 4 so it passes through point Q ( 0 , 0 , − 4 ) . Substitute 2 for x 1 , 0 for y 1 , 0 for z 1 , 0 for x 2 , 0 for y 2 and − 4 for z 2 in equation ( 2 )

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 9.CR, Problem 53E

To determine

To find:

The parametric equation for the line.

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Chapter 9.CR, Problem 52E

Chapter 9.CR, Problem 54E

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Chapter 9 Solutions

Algebra and Trigonometry (MindTap Course List)

Ch. 9.1 - Prob. 1E Ch. 9.1 - CONCEPTS 2. a The length of a vector w=a1,a2 is...Ch. 9.1 - 38 Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - SKILLS 3-8 Sketching Vectors Sketch the vector...Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - 19-22Sketching VectorsSketch the given vector with...Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - 27-30Writing Vectors in terms of i and jWrite the...Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - 31-36 Operations with vectors Find 2u, 3v, u+v,...Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Prob. 53E Ch. 9.1 - Components of a VelocityA jet is flying in a...Ch. 9.1 - 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The parametric equation for the line.

Solution Summary: The author explains the parametric equation for the line, which crosses x -axis at x=2, y=0 and z=-4t.

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To find: The parametric equation for the line.

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Chapter 9 Solutions

To find:

The parametric equation for the line.