Consider the vectors u = - 4j+2k and v= -2i+j+ 6k 1. Find the angle between u and v. . Compute proju and scalu. =. Compute projuv and scalv. . The angle between u and visº. Type an integer or decimal rounded to two decimal places as needed.) . Compute proju. -roj₁u = (i+j+ k Type integers or simplified fractions. Type exact answers, using radicals as needed.) Compute scalu. calvu = Type an exact answer, using radicals as needed.) =. Compute projuv. -rojuv=i+j+k Type integers or simplified fractions. Type exact answers, using radicals as needed.) Compute scaluv. calv= Type an exact answer, using radicals as needed.)

a. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =