Answered: Find a vector equation and parametric…

Find a vector equation and parametric equations for the line that passes through the point (2,1,-3) and is parallel to the vector i-4j+4k. Determine the vector equation at t=2.

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 9E

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Question

Draw the graph of the given problem. Vector lines and planes

Find a vector equation and parametric
equations for the line that passes through the
point (2,1,-3) and is parallel to the vector
i-4j+4k. Determine the vector equation at t=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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