Help me describe this vector

  • #1
RJLiberator
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Homework Statement


Describe...
t<1,1> where t is all real numbers.

Homework Equations




The Attempt at a Solution



I start by multiplying t to each x and y component.
The resulting vector (field??) is <t,t> where t is all real numbers.

Does this mean that the 'image' is the entire xy plane of all real numbers?
 

Answers and Replies

  • #2
LCKurtz
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Try plotting a few points for various ##t##.
 
  • #3
RJLiberator
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Oh... brain cramp.
t can be any real number, but it must be only one real number.
So you get a slice through the xy plane.

(1,1)
(2,2)
This is y=x which has a slope of 1.
Correct?
 
  • #4
You could call t a "scalar" meaning it only affects the magnitude of the vector, not it's direction. So what direction is your vector pointing? What's the magnitude?
 
  • #5
Nathanael
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This is y=x which has a slope of 1.
Correct?
Yep. All vectors t<1,1> lie on the line y=x
 
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