Recent content by BoonBoon

Yes, you are absolutely right. Having 0 as the coefficient of Z is what scared me. My professor hadn't covered what that meant very well, so I was confused. Thank you very much for your input.

Thank you so much. I think I figured out the error in my way of thinking. For some reason I was thinking of my answer as looking like a cube in R3. But since x + y = 5 is a line in R2, I could just scale the Z value infinitely in either direction in R3, as long as I'm restricted to that line...

Consider the Lines Below: r = <2, 3, 0> + t<3, -3, 1> r = <5, 0, 1> + s<-3, 3, 0> A.) Find the point at which the given lines intersect. B.) Find an equation of the plane that contains these lines.Homework Equations [/B] The vector equation of a line is given by r = r0 - tv The equation of...

Hey, thank you for your reply. I went about it a little differently than I originally posted and was able to prove it. Thanks for mentioning that a vector's magnitude is equal to the square root of that vector dotted by itself. Using that idea, I was able to prove that the distance to every...

Homework Statement [/B] Use vectors and the dot product to prove that the midpoint of the hypotenuse of a right triangle is equidistant to all three vertices. Homework Equations [/B] I know the dot product is A⋅B = |A||B|cosΘ ... or ... A1B1 + A2B2 + A3B3 ... + AnBn I know the...