Determine whether ~u and ~v are orthogonal vectors, make an acute or obtuse angle: (1.1) ~u =< 1, 3, −2 >, ~v =< −5, 3, 2 >. (2) (1.2) ~u =< 1, −2, 4 >, ~v =< 5, 3, 7 >.
Let us determine whether ~u and ~v are orthogonal vectors, make an acute or obtuse angle using dot product of vectors.
(1.1) Since the dot product
~~ we conclude that two vectors are orthogonal.
(1.2) Since the dot product
~~u = we conclude that two vectors make an acute angle.
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