Explanation Given: The line passes through the points P ( 12 , 16 , 18 ) and Q ( 12 , − 6 , 0 ) . Formula used: Parametric equations for a line. The parametric equations for the line which passes through the point P ( x 0 , y 0 , z 0 ) and parallel to the vector v = 〈 a , b , c 〉 is given below, x = x 0 + a t (1) y = y 0 + b t (2) z = z 0 + c t (3) Where, t is any real number. The vector passing through two points A ( a 1 , a 2 , a 3 ) and B ( b 1 , b 2 , b 3 ) is given below, A B → = ( b 1 − a 1 ) i + ( b 2 − a 2 ) j + ( b 3 − a 3 ) k (4) Calculation: Substitute 12 for a 1 , 16 for a 2 18 for a 3 , 12 for b 1 , − 6 for b 2 and 0 for b 3 in equation (4) to find the vector determined by the points P ( 12 , 16 , 18 ) and Q ( 12 , − 6 , 0 )

Precalculus: Mathematics for Calculus (Standalone Book)

7th Edition

ISBN: 9781305071759

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Brooks Cole

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Chapter 9.6, Problem 14E

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To find: The parametric equations for the line that passes through the points P(12,16,18) and Q(12,−6,0) .

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Chapter 9.6, Problem 13E

Chapter 9.6, Problem 15E

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Chapter 9 Solutions

Precalculus: Mathematics for Calculus (Standalone Book)

Ch. 9.1 - (a) A vector in the plane is a line segment with...Ch. 9.1 - (a) The length of a vector w = a1, a2 is | w | =...Ch. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 5E Ch. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 7E Ch. 9.1 - Sketching Vectors Sketch the vector indicated....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 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Sketching Vectors Sketch the given vector with...Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Writing Vectors in Terms of i and j Write the...Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Writing Vectors in Terms of i and j Write the...Ch. 9.1 - Operations with Vectors Find 2u, 3v, u + v, and 3u...Ch. 9.1 - Prob. 32E 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 - Prob. 54E Ch. 9.1 - Velocity A river flows due south at 3 mi/h. A...Ch. 9.1 - Velocity Suppose that in Exercise 55 the current...Ch. 9.1 - Velocity The speed of an airplane is 300 mi/h...Ch. 9.1 - Velocity A migrating salmon heads in the direction...Ch. 9.1 - Prob. 59E Ch. 9.1 - Prob. 60E Ch. 9.1 - True Velocity of a Jet Find the true speed and...Ch. 9.1 - True Velocity of a Jet In what direction should...Ch. 9.1 - Prob. 63E Ch. 9.1 - Velocity of a Boat The boater in Exercise 63 wants...Ch. 9.1 - Prob. 65E Ch. 9.1 - Velocity A woman walks due west on the deck of an...Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Prob. 68E Ch. 9.1 - Prob. 69E Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Equilibrium of Tensions A 100-lb weight hangs from...Ch. 9.1 - Equilibrium of Tensions The cranes in the figure...Ch. 9.1 - DISCUSS: Vectors That Form a Polygon Suppose that...Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Prob. 6E Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Perpendicular Vectors? 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The parametric equations for the line that passes through the points P ( 12 , 16 , 18 ) and Q ( 12 , − 6 , 0 ) .

Solution Summary: The author explains the parametric equations for a line that passes through the points P(12,16,18) and Q

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To find: The parametric equations for the line that passes through the points P(12,16,18) and Q(12,−6,0) .

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Chapter 9 Solutions