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Sep
11
awarded  Notable Question
Jan
11
awarded  Popular Question
Jul
29
comment how to calculate the angle in the x-y, y-z, x-z plane given only 3D vector direction and magnitude?
Am I on the right track on this or not?
Jul
29
comment how to calculate the angle in the x-y, y-z, x-z plane given only 3D vector direction and magnitude?
..also, the length of the cone does not change as it cuts the x-y plane-- so this reduces the problem to a 2D problem in the x-y plane with both magnitude and angle wrt to x-axis specified. Then using simple trig (R cos phi) we can find x-component of this 3-D vector R.
Jul
29
comment how to calculate the angle in the x-y, y-z, x-z plane given only 3D vector direction and magnitude?
Wow this post has been a big help. If I understand direction cosines right, it is similar to imagining a cone whose dimensions are given by 3-D vector and angle wrt x-axis say (lets call this vector R and angle phi). Now, if we imagine the cone completing a revolution around the x-y plane, and we ask ourselves at what angle wrt x-axis does the cone cut through the x-y plane -- it is the same angle as phi.
Jul
28
comment how to calculate the angle in the x-y, y-z, x-z plane given only 3D vector direction and magnitude?
I am sorry about that. I can see how the vector is not fixed in space and can be anywhere on a cone with the given angle wrt to x-axis. I will try to figure out if there is more information to the vector that I can find in order to fix its location in 3-D space.
Jul
28
asked how to calculate the angle in the x-y, y-z, x-z plane given only 3D vector direction and magnitude?