HH_13_1-13_2

HH_13_1-13_2 - (10/14/08) Math 10C. Lecture Examples....

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Unformatted text preview: (10/14/08) Math 10C. Lecture Examples. Sections 13.1 and 13.2. Vectors Example 1 Find the x- and y-components of the vector u of length 10 with angle of inclination 5 6 . Answer: Figure A1a u = (- 5 3 , 5 ) Figure A1b x y u = 5 6 10 x y u = (- 5 3 , 5 ) 5- 5 3 = 5 6 10 Figure A1a Figure A1b Example 2 Find an angle of inclination of the vector w = ( 3 , 4 ) . Answer: Figure A2. = tan 1 ( 4 3 ) x 3 y 4 w = ( 3 , 4 ) Figure A2 Lecture notes to accompany Sections 13.1 and 13.2 of Calculus by Hughes-Hallett et al. 1 Math 10C. Lecture Examples. (10/14/08) Sections 13.1 and 13.2, p. 2 Example 3 Calculate (a) v + w and (b) w- v for v = ( 4 , 1 ) and w = ( 1 , 3 ) . Then draw the four vectors. Answer: (a) v + w = ( 5 , 4 ) Figure A3a (b) w- v = (- 3 , 2 ) Figure A3b x 2 4 6 y 1 2 3 4 v w v + w x 2 4 6 y 1 2 3 4 v w w- v Figure A3a Figure A3b Example 4 Write 3 ( 4 ,- 1 ) - 2 ( 10 ,- 5 ) in the form ( a , b ) ....
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This note was uploaded on 09/30/2011 for the course MATH 10C taught by Professor Hohnhold during the Spring '07 term at UCSD.

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HH_13_1-13_2 - (10/14/08) Math 10C. Lecture Examples....

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