Q.

The vertices of a triangle are (2,3,5)(1,3,2) , (3,5,2), then the angles are

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a

300,300,1200

b

Cos115,900,Cos153

c

300,600,900

d

Cos113,900,Cos123

answer is D.

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Detailed Solution

Let A(2,3,5),B(1,3,2),C(3,5,2)
D.r’s of AB are (12,33,25) =(3,0,3)=(1,0,1), D.r’s of  BC are  (3+1,53,22)=(4,2,4)=(2,1,2)
D.r’s of CA are (32,53,25)=(1,2,7)
If α is an angle between AB,AC then Cosα=13α=Cos113
If  β is an angle between BC,AB then Cosβ=0β=900 
If γ is an angle between BC,CA then γ=Cos123

Angles of the triangle are Cos113,900,Cos123
 

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