Section 6.1

1.
1. (a) T
2. (b) T
3. (c) F
4. (d) F
5. (e) F
6. (f) F
7. (g) F
8. (h) T
2. $〈 x, y 〉 = 8 + 5 i, ‖ x ‖ = \sqrt{7}, ‖ y ‖ = \sqrt{14},$ $〈 x, y 〉 = 8 + 5 i, ‖ x ‖ = \sqrt{7}, ‖ y ‖ = \sqrt{14},$ and $| | x + y | | = \sqrt{37} .$ $| | x + y | | = \sqrt{37} .$
3. $〈 f, g 〉 = 1, | | f | | = \frac{\sqrt{3}}{3}, | | g | | = \sqrt{\frac{e^{2} - 1}{2}},$ $〈 f, g 〉 = 1, | | f | | = \frac{\sqrt{3}}{3}, | | g | | = \sqrt{\frac{e^{2} - 1}{2}},$ and $| | f + g | | = \sqrt{\frac{11 + 3 e^{2}}{6}} .$ $| | f + g | | = \sqrt{\frac{11 + 3 e^{2}}{6}} .$
16.
1. (b) No

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Table of Contents for Section 6.1