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EAMCET Engineering 2002 Solved Paper
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© examsnet.com
Question : 105
Total: 200
If the position vectors of the vertices of a triangle are
2
^
i
−
^
j
+
^
k
,
^
i
−
3
^
j
−
5
^
k
and
3
^
i
−
4
^
j
−
4
^
k
, then the triangle is
equilateral
isosceles
right angled isosceles
right angled
Validate
Solution:
Let
A
=
2
^
i
−
^
j
+
^
k
,
B
=
^
i
−
3
^
j
−
5
^
k
C
=
3
^
i
−
4
^
j
−
4
^
k
A
B
=
−
^
i
−
2
^
j
−
6
^
k
,
BC
=
2
^
i
−
^
j
+
^
k
and
C
A
=
−
^
i
+
3
^
j
+
5
^
k
a
=
|
B
C
|
=
√
4
+
1
+
1
=
√
6
b
=
|
C
A
|
=
√
1
+
9
+
25
=
√
35
c
=
|
A
B
|
=
√
1
+
4
+
36
=
√
41
Now,
c
2
=
a
2
+
b
2
⇒
41
=
6
+
35
=
41
=
41
∴
It is right angled triangle
© examsnet.com
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