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if A=a (vector) and B=b and C=c are vertices of triangle ABC then perpendicular distance from A to BC is also plz solve previous questons posted by me

if A=a(vector) and B=b and C=c are vertices of triangle ABC then perpendicular distance from A to BC is
 
 
 
also plz solve previous questons posted by me 

Grade:12th pass

1 Answers

AUREA
61 Points
8 years ago
If the vector from origin to the vertices of the triangle ABC are a, b , c respectively then the vector representation of the sides AB and BC will respectively be (a-b) and (c-b) .
The perpendicular distance from A to BC will be ABsin(theta) , where theta is the angle between AB and BC.
this will be equal to I AB cross BC I / BC        {AB cross BC = AB*BC*sin(theta)}
i.e I (a-b) cross (c-b) I / (b-c)

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