Velocity of fluid through a point on a plane

  • Thread starter racnna
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  • #1
racnna
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Homework Statement



Fluid flows with velocity 2i - 3j m/s at point P having coordinates (1,2,4). Consider a plane through P which is normal to the vector b=-i+2k. What is the speed at which the fluid passes through the plane?


The Attempt at a Solution


Should I do the dot product of the position vector P=[1,2,4] and b vector, then multiply this by unit vector that is in the direction of the b vector, and then dot the result with the velocity vector?

thats what i did but I am getting a negative velocity
 
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Answers and Replies

  • #2
tiny-tim
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hi racnna! :smile:
Fluid flows with velocity 2i - 3j m/s at point P having coordinates (1,2,4). Consider a plane through P which is normal to the vector b=-i+2k. What is the speed at which the fluid passes through the plane?

Should I do the dot product of the position vector P=[1,2,4] …

but what is the relevance of the position vector? :confused:
 
  • #3
racnna
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hmm...maybe i don't need it?? ok just ignore the position vector part...

should i just find the dot product of v and a unit normal vector of the plane?
 
  • #4
tiny-tim
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yup! :biggrin:
 

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