Question1.
a)
Let L be the line containing thepoint P(2,-5,-1) and perpendicular to theplane 2x1+3x2+2x3=-3.
Find a vector equationfor L.
My answer: <2,-5,-1>+ t<2,3,2> (correct)
b)
At what pointdoes
Lintersect the yz-plane?
Question2:
x1 = -6 t - 4
x2 = - t+ 2
x3 = 5t - 6
and the second set ofparametric equations
x1 = 6t
x2 = ?
x3 = ?
describe the same line inR3. Find x2 and x3.
Question3:
It is one of 3 options foreach one: Parallel, perpindicular, or neither. Please explainwhy.
http://imgur.com/UbDuH8Z
Question4:
Find the point ofintersection of the two lines
a)
L1: x=1+t, y=-10-2t, z=-5-2t,
L2: x=7-4s, y=-10+2s, z=-7+3s.
Note that in general, twolines in 3D do not intersect. These two lines are carefully chosenso that they do
b)
Find the point where theline
x=1+2t,y=-4+t,z=-2-2t
intersects theplane
4x-y+3z=3.
Thanks. I have a lot ofpoints for this and will give it to someone that can helpme.