# Help me describe this vector

1. Jan 21, 2015

### RJLiberator

1. The problem statement, all variables and given/known data
Describe...
t<1,1> where t is all real numbers.

2. Relevant equations

3. 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?

2. Jan 21, 2015

### LCKurtz

Try plotting a few points for various $t$.

3. Jan 21, 2015

### RJLiberator

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. Jan 21, 2015

### MostlyHarmless

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. Jan 21, 2015

### Nathanael

Yep. All vectors t<1,1> lie on the line y=x

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