Consider the vectors a=(-4, 3, 4), 6-(-3,-2, 2) and c= (14,-4, 17) in 3 dimensions. You...

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Consider the vectors a=(-4, 3, 4), 6-(-3,-2, 2) and c= (14,-4, 17) 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 decima (a) Determine the norms aand |||| |||6|| = (b) Compute the dot product a -6. d-b= (e) Compute the cosine of the angle a between a and 6. cos(a)= (d) Is d orthogonal to 3 (No answer givan) (e) is 6 orthogonal to (No answer givan) Consider the vectors a=(-4, 3, 4), 6-(-3,-2, 2) and c= (14,-4, 17) 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 decima (a) Determine the norms aand |||| |||6|| = (b) Compute the dot product a -6. d-b= (e) Compute the cosine of the angle a between a and 6. cos(a)= (d) Is d orthogonal to 3 (No answer givan) (e) is 6 orthogonal to (No answer givan)