A line passes through the point (- 8, – 9,9), and is parallel to the vector 9i + 6j + 7k. Find the standard parametric equations for the line, written using the components of the given vector and the coordinates of the given point. Let z = 9+ 7t. X = y :

A line passes through the point (- 8, – 9,9), and is parallel to the vector 9i + 6j + 7k. Find the standard parametric equations for the line, written using the components of the given vector and the coordinates of the given point. Let z = 9+ 7t. X = y :

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 8E: In vector form as in Exercises 5 and 6, find an equation for the line through the point 4,1,-3 and...

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Question

Find the standard parametric equations for the line, written using the components of the given vector and the coordinates of the given point.

A line passes through the point (- 8, – 9,9), and is parallel to the vector
9i + 6j + 7k. Find the standard parametric equations for the line, written using
the components of the given vector and the coordinates of the given point.
Let z = 9+ 7t.
X =
y :

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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