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phy131studiof15:lectures:chapter3 [2015/07/20 13:50]
mdawber [Adding and subtracting vectors]
phy131studiof15:lectures:chapter3 [2015/08/31 09:05] (current)
mdawber [Vectors - Components]
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 {{vectoraddsubstract.png}} {{vectoraddsubstract.png}}
 +
 +===== 3.P.003 =====
 +
 +===== 3.P.005 =====
  
 ===== Unit Vectors ===== ===== Unit Vectors =====
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 {{vectorcomponentadd.png}} {{vectorcomponentadd.png}}
  
 +The angles $\theta_{1}$ and $\theta_{2}$ are defined with respect to the positive $x$ axis, ie. $\theta_{1}$ is negative and $\theta_{2}$ is positive.
  
 | $v_{1x}=v_{1}\cos\theta_{1}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ | $v_{2x}=v_{2}\cos\theta_{2}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ | | $v_{1x}=v_{1}\cos\theta_{1}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ | $v_{2x}=v_{2}\cos\theta_{2}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ |
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 | $v_{Rx}=v_{1x}+v_{2x}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ | $\tan\theta_{R}=\frac{v_{Ry}}{v_{Rx}}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ | | $v_{Rx}=v_{1x}+v_{2x}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ | $\tan\theta_{R}=\frac{v_{Ry}}{v_{Rx}}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ |
 | $v_{Ry}=v_{1y}+v_{2y}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ | $v_{R}=\sqrt{v_{Rx}^2+v_{Ry}^2}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ | | $v_{Ry}=v_{1y}+v_{2y}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ | $v_{R}=\sqrt{v_{Rx}^2+v_{Ry}^2}$ <​html>&​nbsp;&​nbsp;&​nbsp;</​html>​ |
 +
 +===== 3.P.027 =====
 +
 +===== 3.P.042 =====
 +
 +===== 3.P.051 =====
 +
 +===== 3.P.062 =====
 +
 +
 +
 +
 +===== Vectors - Multiplication by a scalar =====
 +
 +Multiplication of a vector by a scalar can change the magnitude, but not the direction of the vector, ie. each component of the vector is multiplied by the scalar in the same way.
 +===== 3.P.071 =====
  
phy131studiof15/lectures/chapter3.1437414604.txt ยท Last modified: 2015/07/20 13:50 by mdawber
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