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TS EAMCET 18-July-2022 Shift 2 Solved Paper
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© examsnet.com
Question : 34
Total: 160
If
a
and
b
are two vectors such that
a
=
2
i
+
2
j
+
p
k
,
|
b
|
=
7
,
a
⋅
b
=
4
and
|
a
×
b
|
=
5
√
17
then
p
=
±
5
±
6
±
1
±
3
Validate
Solution:
👈: Video Solution
|
a
|
=
√
2
2
+
2
2
+
p
2
=
√
8
+
p
2
,
|
b
|
=
7
a.b
=
4
[given]
⇒
|
a
|
|
b
|
cos
θ
=
4
⋅
⋅
⋅
⋅
⋅
⋅
⋅
(
i
)
Again,
|
a
×
b
|
=
5
√
17
⇒
|
a
|
|
b
|
s
i
n
θ
=
5
√
17
⇒
4
cos
θ
×
s
i
n
θ
=
5
√
17
[From Eq. (i)]
⇒
tan
θ
=
5
√
17
4
⇒
cos
θ
=
4
21
4
|
a
|
|
b
|
=
4
21
[
From
Eq
.
(
i
)
]
⇒
|
a
|
|
b
|
=
21
⇒
√
8
+
p
2
×
7
=
21
⇒
8
+
p
2
=
9
⇒
p
2
=
1
∴
p
=
±
1
© examsnet.com
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