4.7 Vectors in the Plane

4.7 Vectors in the Plane - parallelogram addition or...

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Vectors in the Plane Chapter 12
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n Quantities that have magnitude (length) and  direction are called  vectors . u v u = v Same magnitude, Different direction Same  direction, Different  magnitude Different  magnitude,  Different direction
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n If a vector is placed on a standard coordinate  plane with its tail, or initial point, at the origin,  the vector is said to be in  standard position . y x
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n The norm or magnitude (length) of a vector is  represented by        and is found by using the  distance formula. v Initial point Terminal point A B ( 29 ( 29 2 2 2 1 2 1 AB x x y y = - + - 2 2 , v a b v a b = = +
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n The sum, or  resultant , of two vectors is also a vector.   Vectors  u   and  can be added using 
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Unformatted text preview: parallelogram addition or tail-to-head addition. Each method yields the same resultant vector w. v u w = u + v u v 5,2 1,3 6,5 If u and v u v = = + = n The direction angle is the measure of the angle between the vector and the positive x-axis. x y C (a, b) a b v cos cos a v a v = = sin sin b v b v = = Joke Time n What starts with P, ends with E, and has thousands of letters in it? n Post Office n Forwards it is heavy, backwards it is not. What is it? n A ton n What music do mummies like? n Wrap music...
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4.7 Vectors in the Plane - parallelogram addition or...

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