Please check if my answer is correct and attach a picture of what the diagram would look like showing all vectors and angle.

A parallelogram is determined by the vectors a = [-2,5] and b = [3, 2]. Determine the angle between the diagonals of the parallelogram. Include a labelled diagram showing all the vectors and angle. [Knowledge - 7 marks] we have a = [ - 2 , 5 ] and b = [ 3, 2 ] you can determine the angle with : cos B = (atb) (a-b) 1(a + b)1 1 (a-b)l Plug in : ( a + b ) = ( - 2 + 3 , 5+2 ) Cosa = ( 1 , 7 ) ( # - 5 , 3 ) = ( 1 , - 5 + 7, 3 ) = ( 1, 7 ) 1(1 , 7) 1 - 1 (- 5, 3) 1 ( a - b ) = ( - 2 - 3 , 5-2 ) ( 1 (1) 2 + 72 ) ( J( 5)4 ( 3 ) = ( - 5 , 3 ) = = 8 10517 5 517 . Q = Cos ( 8 = 1 67- 170 :. The angle between the diagonals of the parallelogram is 67 . 170