Hey... I am having a bit of difficulty with the following question, can someone help me out please?

IfV1= ai(hat) + bj(hat) andV2= bi(hat) and aj(hat)

1) Write down unit vectors in theV1andV2directions

2) Show that cot(theta) = 2ab/(a^2 - b^2) (denominator modulus), where theta is the angle between the two vectors.

Sorry, it seems difficult when you have to type the maths instead of writing it out! I'd really appreciate the answers, and how you got to them, so I know for next time... thank you!