Hello can you provide a response to each part of the problems? Please provide steps and explanation (if possible) for my understanding. This is just vector calculus.

1. The unit vector obtained by rotating the vector ( 1, 0 ) 1350 counterclockwise about the origin 2. In Exercise A ) , find a. v . u, v , u b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proj, u. A) v = 5i + j, u = 2i + V17j 3. Perpendicular diagonals Show that squares are the only rect- angles with perpendicular diagonals