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spoc21
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EDIT: Sorry I made a spelling error in the title: its supposed to be Planes
Recall that there are three coordinates planes in 3-space. A line in R3 is parallel to xy-plane, but not to any of the axes. Explain what this tells you about parametric and symmetric equations in R3. Support your answer using examples.
N/A
I know that if the line is parallel to the xy plane, it will have the direction vector:
[x,y,0]
To find the parametric equation, we need to pick a fixed point on the line
(x1, y1, z1)
Parametric equation are:
(note: t is the scalar)
x =x1+xt
y =y1+yt
z =z1
I am not sure what I need to explain here, any help is much appreciated
Thanks!
Homework Statement
Recall that there are three coordinates planes in 3-space. A line in R3 is parallel to xy-plane, but not to any of the axes. Explain what this tells you about parametric and symmetric equations in R3. Support your answer using examples.
Homework Equations
N/A
The Attempt at a Solution
I know that if the line is parallel to the xy plane, it will have the direction vector:
[x,y,0]
To find the parametric equation, we need to pick a fixed point on the line
(x1, y1, z1)
Parametric equation are:
(note: t is the scalar)
x =x1+xt
y =y1+yt
z =z1
I am not sure what I need to explain here, any help is much appreciated
Thanks!