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Unformatted text preview: Friday, October 14, 2011 6:51 AM Ch_6 Page 1 Two vectors are equivalent if they have the same length (or magnitude) and direction. • ± ²³ µ The component form of a vector with initial point ² ± ¶· ¸ ¹ · º » and terminal point ³ ± ¶¼ ¸ ¹ ¼ º » is: ²³ µ ± ½ ¼ ¸ ¾ · ¸ ¹ ¼ º ¾ · º ¿ ± ½ À ¸ ¹ À º ¿ ± The component form of a vector brings the initial point to the origin, (0,0) The length (or magnitude) of is given by If Á Á ± Â¹Ã then is a unit vector (vector of magnitude 1). • Á Á ± Ä if and only if is the zero vector. • Á Á ± Å ¶ ¼ ¸ ¾ · ¸ » º Æ ¶ ¼ º ¾ · º » º Ã ± Ç À ¸ º Æ À º º Ã _______________________________ Examples Find the component form and magnitude of the vector . Ch_6 Page 2 Initial Point: ±²³´µ Terminal Point: ±¶³ ±· µ Ch_6 Page 3...
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 Spring '11
 byrns
 Math, Vectors, component form, triangle, Heron

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