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JEE Main Math Class 12 Vector Algebra Part 3 Questions
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© examsnet.com
Question : 5
Total: 70
Let
→
a
=
^
i
−
3
^
j
+
7
^
k
,
→
b
=
2
^
i
−
^
j
+
^
k
and
→
c
be a vector such that
(
→
a
+
2
→
b
)
×
→
c
=
3
(
→
c
×
→
a
)
. If
→
a
⋅
→
c
=
130
, then
→
b
⋅
→
c
is equal to _______.
[5 Apr 2024 Shift 1]
Your Answer:
Validate
Solution:
👈: Video Solution
(
→
a
+
2
→
b
)
×
→
c
=
3
(
→
c
×
→
a
)
(
2
→
b
+
4
→
a
)
×
→
c
=
0
→
c
=
λ
(
4
→
a
+
2
→
b
)
=
λ
(
8
^
i
−
14
^
j
+
30
^
k
)
→
a
⋅
→
c
=
130
8
λ
+
42
λ
+
210
λ
=
130
λ
=
1
2
→
c
=
4
^
i
−
7
^
j
+
15
^
k
→
b
⋅
→
c
=
8
+
7
+
15
=
30
© examsnet.com
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