# Differences

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 phy131studiof15:lectures:chapter3 [2015/07/27 16:34]mdawber [Vectors - Multiplication by a scalar] phy131studiof15:lectures:chapter3 [2015/08/31 09:05]mdawber [Vectors - Components] Both sides previous revision Previous revision 2015/08/31 09:05 mdawber [Vectors - Components] 2015/08/31 08:47 mdawber [Vectors - Multiplication by a scalar] 2015/07/27 16:34 mdawber [Vectors - Multiplication by a scalar] 2015/07/27 16:33 mdawber [Vectors - Components] 2015/07/27 16:21 mdawber [3.P.003] 2015/07/27 16:20 mdawber [3.P.003] 2015/07/27 16:08 mdawber [Adding and subtracting vectors] 2015/07/20 15:20 mdawber [Vectors - Components] 2015/07/20 13:50 mdawber [Adding and subtracting vectors] 2015/07/20 13:48 mdawber created Next revision Previous revision 2015/08/31 09:05 mdawber [Vectors - Components] 2015/08/31 08:47 mdawber [Vectors - Multiplication by a scalar] 2015/07/27 16:34 mdawber [Vectors - Multiplication by a scalar] 2015/07/27 16:33 mdawber [Vectors - Components] 2015/07/27 16:21 mdawber [3.P.003] 2015/07/27 16:20 mdawber [3.P.003] 2015/07/27 16:08 mdawber [Adding and subtracting vectors] 2015/07/20 15:20 mdawber [Vectors - Components] 2015/07/20 13:50 mdawber [Adding and subtracting vectors] 2015/07/20 13:48 mdawber created Line 64: Line 64: {{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;​ | $v_{2x}=v_{2}\cos\theta_{2}$ <​html>&​nbsp;&​nbsp;&​nbsp;​ | | $v_{1x}=v_{1}\cos\theta_{1}$ <​html>&​nbsp;&​nbsp;&​nbsp;​ | $v_{2x}=v_{2}\cos\theta_{2}$ <​html>&​nbsp;&​nbsp;&​nbsp;​ | Line 85: Line 86: ===== Vectors - Multiplication by a scalar ===== ===== 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 ===== ===== 3.P.071 =====