1- Given the vectors A=[2, 3, -5], B=[8, -4, 3], and C=[-6, 2, 0], simplify or evaluate the following (4 marks) a)A+B+C b) |B+C I 2- Are the vectors [4,2,6] and [6, 3, 9] collinear? How do you know? (4 marks) Application 3-Given the points A(4, 7, -2) and B(-2, 1, 6): a) Find AB and express AB in terms of i, j,K.?(4 marks) 4- Given U=[2,2,3] and v=[1,-3, 4], and w = [6, 2, 1], evaluate the following expressions) (4 marks) |uxu|+uu Communication 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that AE = 3/5AB+2/5 AD (4 marks) 6- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the magnitudes are 5 and 10. Determine the area of the parallelogram. (4 marks) Thinking 7-Determine the volume of the parallelepiped formed by the vectors U= [2,1,3] , v= [1, -4,2] and w=[ 0,3,5] (4 marks)