The Vector Components (3D) calculator computes the components of a vector in three dimensions (3D).
INSTRUCTIONS: Enter the following:
Vector Components: The calculator returns the following:
To compute the angle between the vector and axes, the unit vector is computed.
`hatF` = `vecF / |vecF|`
Then compute the dot products between the unit vector `hatF` and the unit vectors for the axes (1,0,0) for x, (0,1,0) for y and (0,0,1) for z. The arccosine of each dot product is the angle between them in radians.
α = acos( `hatF * 1,0,0 `)
φ = acos( `hatF * 0,1,0 `)
θ = acos( `hatF * 0,0,1 `)