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## #1 2005-08-07 17:32:00

wcy
Member
Registered: 2005-08-04
Posts: 117

### Vectors question

i have some trouble proving this vector question:

The points A,B,C,D have position vectors a, b, c, d with respect to the origin O. The position vector m, of M on AC such that xAM=yMC, where x+y=1.

Show that if A,B,C,D are points on a sphere, centered at O, and if AC meets BD at M, where x¹BM=y¹MD with x¹+y¹=1, then

xy|a-c|²=x¹y¹|b-d

(bolded letters are vectors)

Last edited by wcy (2005-08-07 17:33:09)

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## #2 2005-08-12 23:08:40

wcy
Member
Registered: 2005-08-04
Posts: 117

### Re: Vectors question

can someone pls help me with this question, i am stuck at it for weeks

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## #3 2005-08-13 12:37:51

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

### Re: Vectors question

I got nothing till' now.
But I'll keep on trying for shure

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