Posted by J on Saturday, May 5, 2012 at 12:22am.
Where does the line [x, y, z] = [6, 10, 1] + t[3, 4, 1] meet the xyplane?

Calculus  MathMate, Saturday, May 5, 2012 at 7:45am
The xy plane is where z=0.
So solve the equation of the line where z=0, i.e.
z=1+t[1]=0
=>
t=1
Substitute t=1 into
[x, y, z] = [6, 10, 1] + t[3, 4, 1]
gives
[x,y,z]=[6,10,1]+1[3,4,1]=[9,14,0]

Calculus  J, Saturday, May 5, 2012 at 12:41pm
So the final answer for this one would be
[x,y,z]=[6,10,1]+1[3,4,1]=[9,14,0] ?
Thank you!

Calculus  MathMate, Saturday, May 5, 2012 at 7:49pm
Right.
You're welcome!
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