NIMCET 2013 Question Paper with solutions

Question : 45 of 120

Marks: +1, -0

Let

a↖{→},b↖{→} ,c↖{→}

be the position vectors of three vertices A, B, C of a triangle respectively. Then the area of this triangle is given by :

Solution:

The two adjacent sides of the triangle are represented by (b-a) and (c-a),thus its area

=1/2{|(b-a)×(c-a)|}

={1}/{2}|{b}×{c}-{b}×{a}-a×{c}|=\;\;{1}/{2}|{b}×{c}+a×{b}+{c}×a|

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