| #8 | -15/2 (1+√3) |
| #10 | 100/√17 |
| #12 | -22/5 |
| #18 | -19 / (2√34) |
| #24 | (a) -5/14 (b) (1/√21)<-4, -2, -1> √21/4 (c) (1/√21)<4, 2, 1> -√21/4 |
| #26 | (a) <16, 54> (b) <27, -8> |
| #28 | (a) -8/7 (b) <32, 4, 32> (c) 4√129 (d) <-32, -4, -32> (e) -4√129 |
| #32 | (b) <1, 1> (maximum heat transfer from hot to cold) (c) -5 / √5 |
| #44 | This is nothing more than the chain rule written in terms of vectors. |
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