Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#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)

Offline

#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

Offline

Board footer

Powered by FluxBB