Find the magnitudes of the vectors in Exercise 1 and calculate the angle between the respective pairs of vectors.
Exercise 1
Calculate the sum, difference, and dot product of each of the following pairs of vectors:
(a) (3, 0, 5, 0, 4, 2) and
(b) and
(c) and
(d) (1, 2, 3, …, n − 1, n) and (1, 1, 1, …, 1, 1) [Hint: and .]
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