**Unformatted text preview: **moving due west at a speed of 40 km/hr. Find Jack’s velocity relative to the surface of the water. 13.2b. Suppose a = ±-2 , 3 ,-2 ² and b = ± 3 , 4 ,-1 ² . Sketch each of the following quantities. (a) a + 5 j (b) 3 a-4 b 13.3a. Suppose u and v are vectors. We deﬁne orth u v to be the difference v-proj u v . (a) Show that v = proj u v + orth u v . (b) Show that proj u v is orthogonal to orth u v . (c) Compute and sketch the vectors proj u v and orth u v for u = ± 2 , 5 , 7 ² and v = ± 1 , 5 , 8 ² . 13.3b. Compute the three angles, correct to the nearest tenth of a radian, of the triangle with vertices (2 , 2 , 3) , (2 ,-5 , 1) , and (1 ,-3 , 4) . List your answers from least to greatest. 1 For example, you may wish to do a bit of research in a library....

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