A line passes through the point (−8,5,−4), and is parallel to the vector 4i+7j+8k. 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=−4+8t. x___, y____, z_____ (Type expressions using t as the variable.)

A line passes through the point (−8,5,−4), and is parallel to the vector 4i+7j+8k. 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=−4+8t. x_, y, z___ (Type expressions using t as the variable.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 17RE

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A line passes through the point (−8,5,−4), and is parallel to the vector 4i+7j+8k. 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=−4+8t.

x___, y____, z_____ (Type expressions using t as the variable.)

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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