Posted by J on .
Where does the line [x, y, z] = [6, 10, 1] + t[3, 4, 1] meet the xyplane?

Calculus 
MathMate,
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,
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,
Right.
You're welcome!