Let be a triangle with and and , .

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- Feb 11th 2009, 05:20 AMsillymeVector problem
Let be a triangle with and and , .

- Feb 11th 2009, 06:29 AMred_dog
We have

Then,

- Feb 11th 2009, 06:32 AMHallsofIvy
Your notation is slightly confusing. You say that so "AB" means the vector from A to B but then you use BM and MC as lengths of vector since you are dividing them. I don't know whether the "AM" you want is to be a vector or a length.

I am going to call the vector from B to C, [tex]\vec{c}[/itex], the vector from B to M, , and the vector from A to M, and use the capital letters only for the lengths.

Since , BM= kMC and BM+ MC= (k+1)MC.

Then . But so and then so, finally,

The distance AM is the length of the vector above. - Feb 11th 2009, 06:34 AMsillymeThanks
Thank you red_dog!