Find the vector and parametric equations for the line through the pointP= (3,0, –1) and the point Q = (6,3, 1).Vector Form: r =-1) +t(, 2)Parametric form (parameter t, and passing through P when t = 0):x = x(t) =y = y(t) == Zz(t) =||

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Find the vector and parametric equations for the line through the point P= (3,0, –1) and the point Q = (6,3, 1). Vector Form: r = ) +t( , 2) Parametric form (parameter t, and passing through P when t = 0):

Find the vector and parametric equations for the line through the point P= (3,0, –1) and the point Q = (6,3, 1). Vector Form: r = ) +t( , 2) Parametric form (parameter t, and passing through P when t = 0):

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

Find the vector and parametric equations for the line through the point
P= (3,0, –1) and the point Q = (6,3, 1).
Vector Form: r =
-1
) +t(
, 2)
Parametric form (parameter t, and passing through P when t = 0):
x = x(t) =
y = y(t) =
= Z
z(t) =
||

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