How to let WAlpha compute the angles between a vector & xy,xz,yz planes

Questions
1

Take (1,1,1) for example, the output result should be (35.xx°,35.xx°,35.xx°)

2

To get the angle between the vector (1,1,1) and the plane z = 0, you can enter

angle between vectors (1,1,1) and (1,1,0)

or, using the WL built-in function,

VectorAngle[{1, 1, 1}, {1, 1, 0}]

The solutions are given in radians. I did not succeed to get the expression in degrees using only natural language, but you can mix with WL functions as

VectorAngle[{1, 1, 1}, {1, 1, 0}] in degrees

otherwise in pure Wolfram Language, it would be

VectorAngle[{1, 1, 1}, {1, 1, 0}]*180/Pi

To get the three angles from a single request:

N[VectorAngle[{1, 1, 1}, #]&/@{{0,1,1},{1,0,1},{1,1,0}}]
3

Thanks! This is exactly what I needed :slight_smile: