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Question

The area of the triangle formed by the point A(2,3,4),B(3,4,2) and C(4,2,3) is?

A
33
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B
332
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C
32
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D
532
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Solution

The correct option is B 332
Direction ratio of AB = (1,1,2)
a1,b1,c1
Direction ratio of ABC = (1,1,2)
a2,b2,c2
[a1,b1,c1 are direction ratio]
Area of ΔABC = 12(b1c1b2c1)2
=12(14)2+(21)2+(21)2=129+9+9=332

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