Triangle Properties and Vector Operations (Jee … | ExamDuo
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Scalar and Vector Products
Hard
Triangle Properties and Vector Operations
Let
A
B
C
be a triangle such that
→
B
C
=
→
a
,
→
C
A
=
→
b
,
→
A
B
=
→
c
,
a
∣
=
6
√
2
,
overrightarrow
∣
→
b
∣
=
2
√
3
and
→
b
⋅
→
c
=
12
. Consider the statements :
(
S
1
)
:
∣
(
→
a
×
→
b
)
+
(
→
c
×
→
b
)
|
−
|
→
c
∣
=
6
(
2
√
2
−
1
)
(
S
2
)
:
∠
A
C
B
=
cos
−
1
(
√
2
3
)
Then
Ask about this question
SELECT ONE OPTION
A
both (S1) and (S2) are true
B
only (S1) is true
C
only (S2) is true
D
both (S1) and (S2) are false
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