For the vector A=2I+3J B=I+J what is

magnitude and direction of ( A-B).

(A-B)x=Ax-Bx=2-1=1

(A-B)y=Ay-By=3-1=2
Magnitude (A-B) =sqrt(1²+2²)=2.24
tanφ=(A-B)y/(A-B)x=2/1=2
φ=63.4º(the vectot makes this angle with x-axis)