Use dot product methods to find the distance from (5,2) to the line 2x-7y=0.

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- May 7th 2010, 08:13 PMvvc531line point distance
Use dot product methods to find the distance from (5,2) to the line 2x-7y=0.

- May 7th 2010, 08:58 PMProve It
I don't know about dot product methods, but note that the line can be rewritten as .

That means you're wanting to find the minimum distance between and .

The distance between these points is:

.

You should now be able to find the minimum distance, by taking the derivative, setting equal to 0 and solving, then using the second derivative test.