Perpendicular Definition and 512 Threads

Got a problem which should be easy but having trouble... "Find the equation of the tangent plane to z=f(x,y)=x^2 + y^2 - 1 at point (1,1,1) "Find an equation to a plane that is perpendicular to that tangent plane and also passes through the point (1,1,1) Thanks!

Does this concept is connected with a pure geometry (of space)?. Thus each dimension is perpendicular at all another. It is simple for presenting graphically up to three dimensions: point, line, square, cube and ….. Further it is much more difficult. What a physical sense of...

If you have a 3d vector, how do you find out the perpendicular vector to this (the normal plane and stuff)? I know that the scalar product has to be 0, but surely that leaves hundreds of ones that would do that, as 2 of the 3 numbers can be chosen and the last one changes the value to 0.

Excerpt from: Beicher and Serway, "Physics for Scientists and Engineers with Modern Physics, 5th edition" Chapter 24, problem 58, part c: Two infinite, non conducting sheets of charge are parallel to each other, as show in the figure. The sheet on the left has a uniform...

what happens when two beams of light pass through each other perpendicular to each other??

find two perpendicular vectors u and v such that each is perpendicular to w = <-4, 2, 5>

Could some tell me what's the other way you could find if lines are perpendicular, other than graphing. I know another way to do it, and its algebracaly, but there's another way you could do it algebracaly too.

If the area enclosed by an ellipse 4x^2+y^2=1 and its cross section is perpendicular to the x-axis then its volume is? I don't have the slightest clue how to do this? Maybe solve for 2y^2=1-4x^2 set the integral equal to pi times the intergral of 1/4 to 1 of 1-4x^2?

Find 2 vectors u and v such that they are perpendicular one of the vector is twice the magnitude of the other. And the sum vector of u and v is [6,8] I did: Let u=[a,b] Let v=[c,d] Let |u|=2|v u.v=ac+bd=0 |u+v|=|u|^2 + |v|^2 But |u|=2|v| |u+v|=5|v|^2 5|v|^2=100 |v|^2=20...

if i drop a package off a plane, then a second later i drop another package, the distance between the packages will be constant right? or would it be increasing? why? if the acceleration of an object is always directed perpendicular to its velocity, is the object speeding up?

Straight Aristocracy If the latter part of this is true it postulates that if an object which was put into motion by an unknown entity in zero gravity is moving in a circle a force must be acting upon it. Hence, no object will inertially move in a circle unless it is a spin (rotation on its'...

I've just talked with someone who informed me of a T.V. special, that dealt with the discovery of two planets, that move in perpendicular orbits - relative to the other nine planets. Is this true, or was I right in assuming that it was ridiculous?