Answered: Find the equation of a line in vector…

Find the equation of a line in vector form that is parallel to 3x−2y+z= 4, passes through the point (2,0,1), and is perpendicular to r(t) =〈2−t,2t,1 +t〉.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 32E

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Question

Find the equation of a line in vector form that is parallel to 3x−2y+z= 4, passes through the point (2,0,1), and is perpendicular to r(t) =〈2−t,2t,1 +t〉.

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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