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Thomas Calculus 13th [Solutions]

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Section 12.5 Lines and Planes in Space 899<br />

i j k<br />

10. The direction is u v 1 2 3 2i 4j 2k and P(2, 3, 0) x 2 2 t, y 3 4 t, z 2t<br />

3 4 5<br />

11. The direction i and P(0, 0, 0) x t, y 0, z 0<br />

12. The direction k and P(0, 0, 0) x 0, y 0, z t<br />

13. The direction PQ i j 3 k and P(0, 0, 0)<br />

2<br />

x t, y t, z 3 t , where 0 t 1<br />

2<br />

14. The direction PQ i and P(0, 0, 0)<br />

x t, y 0, z 0, where 0 t 1<br />

15. The direction PQ j and P(1, 1, 0)<br />

x 1, y 1 t, z 0, where 1 t 0<br />

16. The direction PQ k and P(1, 1, 0)<br />

x 1, y 1, z t , where 0 t 1<br />

17. The direction PQ 2j and P(0,1, 1)<br />

x 0, y 1 2 t, z 1, where 0 t 1<br />

Copyright<br />

2014 Pearson Education, Inc.

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