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Let A, B and C be the vertices of a triangle.let D,E and F be the midpoints of the sides BC,CA and AB respectively.AD vector +BE vector+CF vector = 0

Let A, B and C be the vertices of a triangle.let D,E and F be the midpoints of the sides BC,CA and AB respectively.AD vector +BE vector+CF vector = 0

Grade:10

1 Answers

Arun
25763 Points
2 years ago
Dear student
 
 

let vectors a , b, c represent A,B,C respectively

so mid point vecors of D,E,F respectively are 1/2*(b+c) , 1/2*(a+c) , 1/2*(b+a)

AD+BE+CF = 1/2*(b+c) - a + 1/2*(a+c) -b + 1/2*(b+a) - c

   AD+BE+CF = 0

 

Regards

Arun (askIITians forum expert)

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