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AP EAMCET Engineering 20 Apr 2019 Shift 1 Paper
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Section:
Mathematics
© examsiri.com
Question :
31 of 160
Marks:
+1
,
-0
If the position vectors of the vertices A. B and C of Δ ABC are
^
i
+
2
^
j
−
5
^
k
,
−
2
^
i
+
2
^
j
+
^
k
and
2
^
i
+
^
j
−
^
k
respectively then ∠B =
c
o
s
−
1
(
7
3
√
10
)
c
o
s
−
1
(
8
√
105
)
c
o
s
−
1
(
1
√
45
)
c
o
s
−
1
(
−
7
3
√
10
)
Validate
Solution:
Consider
B
A
=
3
i
−
6
k
And
B
C
=
4
i
−
j
−
12
k
Then,
cos
(
∠
B
)
=
|
B
A
⋅
B
C
|
|
B
A
|
|
B
C
|
=
12
+
12
√
9
+
36
√
16
+
1
+
4
=
8
√
105
∠
B
=
cos
−
1
(
8
√
105
)
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