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02Vector Arithmetic

02Vector Arithmetic - Check to see if this looks like the...

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V ECTOR A RITHMETIC – S UM AND D IFFERENCE We can add vectors graphically or algebraically. To add vectors graphically, we add them “nose to tail”. If j i a 3 2 - = and j i b 4 + - = represent b a + in the plane. The zero vector is 0 = 0 0 and for any vector a , a + ( -a ) = ( -a ) + a = 0 . As mentioned last day, the negative of a vector is the same magnitude but in the opposite direction. Subtraction of a vector therefore is the same as adding the opposite. Ex . Represent b a - in the plane. (This is ) ( b a - + ) Is a b + the same as b a + ? Check by graphing.

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Vectors can be added algebraically by adding their respective components. Ex . Add a + b algebraically.
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Unformatted text preview: Check to see if this looks like the graph. Ex . Find a – b . Check the graph. Vectors can also be added in column representation (just like adding matrices). Ex . If = 5 4 a and -= 2 1 b , find b a + . Vectors in three dimensions are added and subtracted the same way that vectors in two dimensions are. Ex . If -= 4 1 3 p and -= 3 2 q , find q p + and p q -. Assign: MSL Exercise 15C.2 p.362 #1-3 all...
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