Find parametric equations for the line described below. The line through the point P(1, 1, -2) parallel to the vector -5i+3j-7k a) x = 5t + 1, y = 3t + 1, z = -7t - 2 b)x = 5t - 1, y = 3t - 1, z = -7t + 2 c)x = -5t + 1, y = 3t + 1, z = -7t - 2 d)x = -5t - 1, y =3t - 1, z = -7t + 2

Find parametric equations for the line described below. The line through the point P(1, 1, -2) parallel to the vector -5i+3j-7k a) x = 5t + 1, y = 3t + 1, z = -7t - 2 b)x = 5t - 1, y = 3t - 1, z = -7t + 2 c)x = -5t + 1, y = 3t + 1, z = -7t - 2 d)x = -5t - 1, y =3t - 1, z = -7t + 2

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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Question

Find parametric equations for the line described below.

The line through the point P(1, 1, -2) parallel to the vector -5i+3j-7k

a) x = 5t + 1, y = 3t + 1, z = -7t - 2

b)x = 5t - 1, y = 3t - 1, z = -7t + 2

c)x = -5t + 1, y = 3t + 1, z = -7t - 2

d)x = -5t - 1, y =3t - 1, z = -7t + 2

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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