Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
find the angle between the two
find the angle between the two surfaces at the given point of intersection.
(compute this angle as the angle between the normals to the surfaces at this point)
(1 , 根號2 , 1)
- MichaelLv 41 decade agoFavorite Answer
let f(x, y, z) = (x^2)+(y^2)+(z^2)-4
g(x, y, z) = (z^2)+(x^2)-2
gradient f(x, y, z) = (2x, 2y, 2z)
gradient f(1 , 根號2 , 1) = (2, 2根號2, 2)
gradient g(x, y, z) = (2x, 0, 2z)
gradient g(1, 根號2, 1) = (2, 0, 2)
cos(angle) = (2, 2根號2, 2)‧(2, 0, 2) / [│(2, 2根號2, 2)│*│ (2, 0, 2)│]
angle = 45度或π/4
2008-03-19 01:23:22 補充：
another angle is 135度 or 3π/4 (supplementary)Source(s): me, me