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6.3 Vectors in the Plane

# 6.3 Vectors in the Plane - Friday 6:51 AM Ch_6 Page 1 Two...

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Agenda: 1. Lesson: 6.3 Vectors in the Plane 2. Quiz (last 15 minutes of class) The Law of Sines (Ambiguous Case) reference sheet is ok to use, along with the Law of Cosines written somewhere on the sheet. _________________________ An example of Heron's Formula Heron's Formula Given any triangle with sides of length and , the area of the triangle is: where Find the area of the triangle with side lengths . _________________________ 6.3 Vectors in the Plane Goals: Write vectors in component form and find the magnitude. DOD Represents a quantity that has both magnitude and direction , like forces or velocity. Two vectors are equivalent if they have the same length (or magnitude) and Vector: Directed Line segment Test retakes: Oct 17-21. You can retake any or all parts.

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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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6.3 Vectors in the Plane - Friday 6:51 AM Ch_6 Page 1 Two...

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