Equation of plane question?

Let W be the plane through the origin in R3 spanned by the set S = {(1, 1, 1), (1, 0, -1)} Find the distance from the point P=(-1, 1, -2) to the plane W I calculated this by using cross product to find the plane equation of -x+2y-z=0. Putting this into...

So the original question was: The general equation of a plane is Ax + By + Cz = D, where A, B, C, and D are real numbers and A is nonnegative. Find the equation of the plane containing the points (3, 0, 0), (0, 8, 0), and (0, 0, 6). Show each step of...

Don't just say "yes" or "no". Give me some feedback if I did it right and how I should have done it if it's wrong. If you just say yes or no you won't get the points. this is the question I had to answer: 1. The equation of a plane...

Please help with math question!? When a plane flies in the wind, it can travel 3000km in 6 hours. When it flies with the wind, it can travel the same distance in 5 hours. Find the rate of the plane in still air and the rate of the wind. I got Let x rep...

I dont know how to go about this question: Find the equation of the tangent plane to the given surfaces at the point P. 1) z = xy, P = (-2, 1, -2) 2) z = x^2 - y^2, P = (3, 2, 5) And how do you go about this?

Hi, I'm studying for my final exam for vectors but I dont understand some of the questions my teacher left for review and i need to know the procedure on how to do this questions in order to pass so here it is: Question 1: find the value of "a"...

My question deals with Plane, solid, and analytical geometry/ Analytical Geometry of three dimensions. I know that the equation of a sphere is: x^2 + y^2 + z^2 - 1 = 0 How about the other Platonic solids? I mean, how could I write an equation for the...

that's my homework of Microwaves class. it's about plane waves in lossless medium. -> Suppose that a plane wave, which is linearly polarized at x-direction, is propagating in +z direction in free space with a frequency of f=300MHz. Write down the...