How do you write a vector equation and a parametric

gvaldytist

gvaldytist

Answered question

2022-06-14

How do you write a vector equation and a parametric equation for each line: the line through A ( 3 ,   0 ,   4 ) and parallel to the x-axis?

Answer & Explanation

livin4him777lf

livin4him777lf

Beginner2022-06-15Added 14 answers

Step 1
Equation x-axis is r = ( x , 0 , 0 )
So, the equation to the line, parallel to the x-axis through (a, b, c) is
r = ( a , b , c ) + ( x , 0 , 0 )
Here, it is r = ( 3 , 0 , 4 ) + ( x , 0 , 0 ) = ( 3 + x , 0 , 4 )
This is itself in parametric form, with x as the parameter. Note that y and z are constants on this line.

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