jerri-3-1 - Three representations Of a Vector 1....

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Three representations Of a Vector 1. Physical-real life event such as a force or velocity. It has both magnitude and direction. 2. Geometric-picture in the coordinate plane with initial point and terminal point. It’s a directed line segment which represents the physical vector. Example: vA B = !!!" where A (1,1) B (4,2) A B A is the initial point, B is the terminal point
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3. Algebraic-matrix made up of a single row or single column xcomponent ycomponent    If the initial point is 12 (, ) A aa = and the terminal point is (, ) Bb b = , then x component y component 11 22 ba = b = ) A = Example: Find the algebraic vector for vA B = !!!" where A (1,1) B (4,2) 41 3 21 1 AB  ==  
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Example: find the algebraic vector for vA B = !!!" where A = (2, -1) and B = (-5, -3) 52 31 v −−  =  −+  7 2 = Two vectors are equal if their magnitude and direction are both equal. To compare whether two vectors are equal, we could compare their lengths, slopes and directions.
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jerri-3-1 - Three representations Of a Vector 1....

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