Rectangular scalar components

  • Thread starter sunbunny
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  • #1
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Hey,

In the question that I'm working on it says to resolve v1 and v2 into rectangular scalar components but i have no idea what a rectangular scalar component is and i can't find it in my text book. if anyone could tell me what they are that would be very helpful!

thanks
 

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  • #2
quasar987
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Say you have a vector [itex]\vec{v}[/itex]. It can be written as [itex]\vec{v}=(v_x,v_y)[/itex] or, using the unit vectors in the directions of the x-axis and y-axis, [itex]\hat{x}[/itex] and [itex]\hat{y}[/itex] (sometimes also noted [itex]\vec{i}[/itex] and [itex]\vec{j}[/itex]) as [itex]\vec{v}=v_x\hat{x}+v_y\hat{y}[/itex].

In either case, we call [itex]v_x[/itex] and [itex]v_y[/itex] the recatangular scalar components of [itex]\vec{v}[/itex].

Is it clear?
 
  • #3
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Yes, now it is clear, thank you for your help, i really appreciate it :)
 
  • #4
PhanthomJay
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sunbunny said:
Hey,

In the question that I'm working on it says to resolve v1 and v2 into rectangular scalar components but i have no idea what a rectangular scalar component is and i can't find it in my text book. if anyone could tell me what they are that would be very helpful!

thanks
A rectangular scalar components of a vector in a 2D plane are the magnitude of the projection of the vector onto the x or y axis, respectively. Given a vector V that has a magnitude of V and that makes an angle [tex]\theta[/tex] with the x axis, then the scalar component of the vector along the x axis is [tex] Vcos\theta[/tex], and the scalar component of the vector along the y axis is [tex] Vsin\theta[/tex].
 
  • #5
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okay, thanks that helps a lot for trying to find the x and y components. thank you
 
  • #6
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z-axis components

Hey, I'm just wondering if i need to find scalar components for a magnitude on the z-axis, do i go about the same way i would with regual x,y compenents, or is there something else that i need to do??

Thanks!
 

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