Refer the figure to the right and carry out the following vector operation. Write the vector OE as a sum of scalar multiples of u and v. to (. . . OE =Let u = (3, -4), v= ( - 4,7), and w= (0, -7) . Express 10u - 4v + w in the form (a,b) . 10u - 4v + w= (Simplify your answers.)Let u = (8, 6), v = (1,5), and w = (1,-1). Carry out the following computation. Find |u+v+w|. |u+v+w|=|:| (Type an exact answer, using radicals as needed.) Given the points A( - 3,1), B(5, 18), C(3,5), D(5,5), E (13,13 ) , and F (313, -313 ) , find the position vector equal to the following vectors. a. AB b. AC C. EF d. CD . . . a. AB = (Type exact answers, using radicals as needed.)Find the following vector. The vector in the direction of ( - 6,8) with length 4 The vector in the direction of ( - 6,8) with length 4 is (Simplify your answers.)Define the points Q(0,4) and R(3,8). Carry out the following calculation. Find the unit vector with the same direction as QR