find the parametric for the line with the following properties. the line passes through the origin, it is contained in a plane 2x + 3y - z = 0, and is orthogonal to the vector v = .

Question

find the parametric for the line with the following properties. the line passes through the origin, it is contained in a plane 2x + 3y - z = 0, and is orthogonal to the vector v = <4,1,2>.

annon · Answer

please show some work

anonymous · Answer

wel the normal vector to the plane is <2,3,-1> now the line is perpendicular to it as it lies in the plane it is also perp to <4,1,2> so it is parallel to the vector product of these 2

anonymous · Answer

which is <7, -8, -10>

anonymous · Answer

So cross <2,3,-1> and <4,1,2> Then you have a vector parallel to the line and a point that the line goes through (namely, the origin). So the line should be x=7t y=-8t z=-10t Right him?

anonymous · Answer

since it passes through the origin, the line is
r = tb
the rest malevolence has done

anonymous · Answer

:D

anonymous · Answer

thanks

annon · Answer

thank you guys, ur awesome :P

anonymous · Answer

dont mention it..were only droplets in the river of god

anonymous · Answer

oh, I thought we were only droplets in the river of rama.

anonymous · Answer

god is god..no matter what u call god

anonymous · Answer

Bhuda bless.