Angles between points and planes in 3D?

Justin Alcorn

New member
I need to figure out a few things. I have a two part problem I am struggling with.

Okay my points on a 3D plane are as follows:

A: (1,0,0)
B: (0,1,0)
C: (0,0,1)
D: (1,1,1)
E: (1/2,1/2,1/2)
F: (0,0,0) at the origin

I need to calculate the angle EAF. For this I tried to use the dot product and got about 125.3 degrees. Can anyone check this and tell me if I am wrong?

For the second part, I need to find the angle between the planes ABD and ABE. This is where I am stuck. I got 118 degrees using a lot of different math but no idea if I am correct.

Help please!
 
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