4. Plot three points and draw the line that has the following parametric equations:

x = t
y = -3t + 6
z = t - 3

Show each step of your process

Question

4.	Plot three points and draw the line that has the following parametric equations:

x = t
y = -3t + 6
z = t - 3

Show each step of your process

anonymous · Answer

attachment

amistre64 · Answer

start from 0,6,-3  and your slope is then <1,-3,1>

amistre64 · Answer

or you can simply find 3 values of t, plot the points, and draw a line

anonymous · Answer

is that all?

amistre64 · Answer

yep

anonymous · Answer

ok thank you

amistre64 · Answer

im assuming you understand my directions ... you do right?

anonymous · Answer

a little bit it would be nice if you could further explain

amistre64 · Answer

i can, but i have to know where it is that you need the help at.  Is it plotting?  is it finding values to plot?

anonymous · Answer

haha both

amistre64 · Answer

plotting in 3space is the same concept as plotting on a normal xy graph, you just have an extra move to make

amistre64 · Answer

the extra move is simply up or down depending on the value for "z"

amistre64 · Answer

finding points is the same way you would find them for any given equation; pick a value for "t" to find the values for (x,y,z) and plug them in to define a point

amistre64 · Answer

when t=0

x = t = 0

y = -3t + 6 = 6

z = t - 3 = -3

(0,-6,3) is a point in the line in 3space

go 0 on your x, -6 on your y and 3 on your z directions

amistre64 · Answer

i misplaced my - dint i :)

anonymous · Answer

:D

anonymous · Answer

so thats all i need to know to answer my question?

amistre64 · Answer

yes, that is all you need to know; applying it is up to you :)

anonymous · Answer

ok thank you

amistre64 · Answer

yw, and good luck