Help on a 2D vector problem
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Help on a 2D vector problem

[From: ] [author: ] [Date: 12-05-03] [Hit: ]
you can picture in your mind the rest of the vector by using any other values in place of x,y (e.g. use x =1,y=1 and continue for x=-1,y=1).......
Describe geometrically the vector fields determined by

F = xi + yj

ANSWER is : The vector at (x, y) has tail at (x, y) and head at (2x, 2y).

I get the (x,y) tail part but why is the head located at (2x,2y) if anyone can shed any light on this answer thanks.

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The solution to the problem is to describe geometrically the vector fields. Therefore, if you know where the tail is then, you can picture in your mind the rest of the vector by using any other values in place of x,y (e.g. use x =1,y=1 and continue for x=-1,y=1). If you continue this you will see how you can show geometrically the vector field determined by F.

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never heard of it!

vector should have tail at [0,0] and head at [x,y]
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