A line passes through the points P(−4,6,−9) and Q(2,1,9). Find the standard parametric equations for the line, written using the base point P(−4,6,−9) and the components of the vector PQ. Let z=−9+18t. x___, y____, z_____ (Type expressions using t as the variable.)

A line passes through the points P(−4,6,−9) and Q(2,1,9). Find the standard parametric equations for the line, written using the base point P(−4,6,−9) and the components of the vector PQ. Let z=−9+18t. x_, y, z___ (Type expressions using t as the variable.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 22E

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Question

A line passes through the points P(−4,6,−9) and Q(2,1,9). Find the standard parametric equations for the line, written using the base point P(−4,6,−9) and the components of the vector PQ.

Let z=−9+18t.

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.

Expert Solution