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TS EAMCET 2017 Code A Solved Paper
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© examsnet.com
Question : 9
Total: 160
if
→
a
is a unit vector, then
|
→
a
×
∧
i
|
2
+
|
→
a
×
∧
j
|
2
+
|
→
a
×
∧
k
|
2
2
4
1
0
Validate
Solution:
|
a
×
∧
i
|
2
+
|
a
×
∧
j
|
2
+
|
a
×
∧
k
|
2
=
(
|
a
|
|
i
|
sin
α
)
2
+
(
|
a
|
|
j
|
sin
β
)
2
+
(
|
a
|
|
k
|
sin
γ
)
2
=
sin
2
α
+
sin
2
β
+
sin
2
γ
=
1
−
cos
2
α
+
1
−
cos
2
β
+
1
−
cos
2
γ
=
3
−
(
cos
2
α
+
cos
2
β
+
cos
2
γ
)
The value of
cos
2
α
+
cos
2
β
+
cos
2
γ
=
1
|
a
×
∧
i
|
2
+
|
a
×
∧
j
|
2
+
|
a
×
∧
k
|
2
=
3
−
1
=
2
© examsnet.com
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