No links please Chapter name :Vector16 If AO→ + OB→ = BO→ + OC→, show that - Maths - Vector Algebra

Question

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C h a p t e r   n a m e   : V e c t o r 16    
I f   A O →   +   O B →   =   B
O →   +   O C → ,   s h o w   t h a t
  t h e   p o i n t s   A ,   B   a n d
  C   a r e   c o l l i n e a r

Lovina Kansal · Accepted Answer

Dear student
We have,AO→+OB→=BO→+OC→AB→=BC→    [ By triangle law]Thus, AB→ and BC→ are either parallel or collinear
But, B is a common point to them
So, AB→ and BC→ are collinear
Hence, points A,B and C are collinear
Regards

No links please C h a p t e r n a m e : V e c t o r 16 . I f A O → + O B → = B O → + O C → , s h o w t h a t t h e p o i n t s A , B a n d C a r e c o l l i n e a r .

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$C h a p t e r n a m e : V e c t o r 16 . I f \vec{A O} + \vec{O B} = \vec{B O} + \vec{O C}, s h o w t h a t t h e p o i n t s A, B a n d C a r e c o l l i n e a r .$