:1 n Consider the vectors a = (-2, -4, 1), 6 = (-3,4,-3) and c = (8, -9, -20) in 3 dimensions. You can input square roots like 2 either as sqrt(2) or 2^(1/2), or alternatively enter answers correct to three decimal places. (a) Determine the norms |||| and ||6||. = ||b|| (b) Compute the dot product - b. a-b= (c) Compute the cosine of the angle a between a and b. cos(a) = Recall that two vectors are orthogonal (i.e. perpendicular) if their dot product is zero. (d) Is a orthogonal to c? (No answer given) + (e) Is b orthogonal to c? (No answer given) Check