Calculate the angle between the following vectors using the dot product:
a) [1,0,0] and [1,1,1]
b) [1,0,0] and [1,1,0]
c) [0,1,0] and [1,1,0]
d) [0,0,1] and [1,1,0]
a) ( cos⁻¹(1/3) )
b) ( cos⁻¹(1/√{2}) )
c) ( cos⁻¹(1/√{2}) )
d) ( cos⁻¹(0) )