Find a nonzero vector u with initial point P(-1.3.-5) such that

  • Thread starter dola
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  • #1
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Main Question or Discussion Point

Find a nonzero vector u with initial point P(-1.3.-5) such that
(a) u has the same direction as v = (6,7,-3)
(b) u is oppositely directed to v = (6,7,-3)
 

Answers and Replies

  • #2
tiny-tim
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Welcome to PF!

Hi dola! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help!

Try (a) first. :smile:
 
  • #3
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Find a nonzero vector u with initial point P(-1.3.-5) such that
(a) u has the same direction as v = (6,7,-3)
(b) u is oppositely directed to v = (6,7,-3)
---->
Let, the terminal point of u is Q(x,y,z)
Thus u = vector PQ = (x+1, y-3, z+5)

(a) u will have the same direction as v
so, (x+1, y-3, z+5) = (6,7,-3)

x = 5, y = 10, z = -8

Thus one possible ans might be Q(5,10,-8)

(b) u will have the opposite direction as v
so, (x+1, y-3, z+5) = (-6,-7,3)

x = -7, y = -4, z = -2

Thus one possible ans might be Q(-7, -4, -2)


I am not sure whether the procedure is correct. Waiting for explanation
 
  • #4
tiny-tim
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… I am not sure whether the procedure is correct. Waiting for explanation
Yup, that's fine … both method and result! :biggrin:
 
  • #5
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Thank you
 

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