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Byju's Answer
Standard XII
Physics
Vector Addition
If a, → b, → ...
Question
If
a
,
→
b
,
→
c
→
are non-coplanar vectors, then
a
→
·
b
→
×
c
→
c
→
×
a
→
·
b
→
+
b
→
·
a
→
×
c
→
c
→
·
a
→
×
b
→
is equal to
(a) 0
(b) 2
(c) 1
(d) none of these
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Solution
(a) 0
We
have
a
→
.
b
→
×
c
→
c
→
×
a
→
.
b
→
+
b
→
.
a
→
×
c
→
c
→
.
a
→
×
b
→
=
a
→
b
→
c
→
c
→
a
→
b
→
+
b
→
a
→
c
→
c
→
a
→
b
→
By
definition
of
scalar
tiple
product
=
a
→
b
→
c
→
a
→
b
→
c
→
+
-
a
→
b
→
c
→
a
→
b
→
c
→
Change
in
cyclic
order
of
vectors
changes
the
sign
of
the
scalar
triple
product
=
1
-
1
=
0
Suggest Corrections
0
Similar questions
Q.
If
a
,
→
b
,
→
c
→
are three non-coplanar vectors, then
a
→
+
b
→
+
c
→
.
a
→
+
b
→
×
a
→
+
c
→
equals
(a) 0
(b)
a
→
b
→
c
→
(c)
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a
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b
→
c
→
(d)
-
a
→
b
→
c
→
Q.
If
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+
B
+
C
=
180
∘
,
then secA(cosBcosC -sinBsinC) is equal to
Q.
Find
p
if the vectors
a
+
b
+
c
,
a
+
p
b
+
2
c
,
−
a
+
b
+
c
are coplanar where
a
,
b
,
c
are non coplanar.
Q.
If
A
,
B
and
c
are three non-coplanar vectors, then
(
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B
+
C
)
.
[
(
A
+
B
)
×
(
A
+
C
)
]
equals
Q.
If A + B + C = π, then sec A (cos B cos C − sin B sin C) is equal to
(a) 0
(b) −1
(c) 1
(d) None of these
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