Finding the length of vectors

RM5152

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Hello ? would someone be able to tell me if I have solved this question correctly? The last part of it 4(c) makes me think I must be missing something but I’m just not sure. Thanks in advance ..
 

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Hello ? would someone be able to tell me if I have solved this question correctly? The last part of it 4(c) makes me think I must be missing something but I’m just not sure. Thanks in advance ..
I presume you are trying to calculate the magnitude in part c). The magnitude of a vector is [imath]|| \textbf{v} || = \sqrt{ \textbf{v} \cdot \textbf{v} }[/imath],

-Dan
 
Actually, in Physics [imath]\textbf{v} \cdot \textbf{v}[/imath] is often denoted as [imath]v^2[/imath]. As long as you have context you should be fine.

-Dan
Don't tell Steven about Physics - it is too uncertain for him.
 
We are give that [imath]\bf x~\&~y[/imath] are unit vectors.
We also know that [imath]\|2{\bf x}-9{\bf y}\|^2=(2{\bf x}-9{\bf y}){\Large\cdot}(2{\bf x}-9{\bf y})=4{\bf x}{\Large\cdot}{\bf x}-36{\bf x}{\Large\cdot}{\bf y}+81{\bf y}{\Large\cdot}{\bf y}=???[/imath]


[imath][/imath][imath][/imath][imath][/imath]
 
Thanks for all the help! Okay .. I think I got it .. Is this correct?
 

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