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Byju's Answer
Standard VII
Physics
Vectors and Scalar
39. if the th...
Question
39. if the three vectors a, b, c are non-coplanar. express a, b, c each in terms of the vectors bc, ca, ab.
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Q.
If
→
a
,
→
b
,
→
c
are non collinear coplanar vectors represents
−
−
→
B
C
,
−
−
→
C
A
,
−
−
→
A
B
respectively, then which of the following is TRUE
Q.
Assertion :If
a
,
b
,
c
are three non-coplanar, non-zero vectors, then
(
a
.
a
)
b
×
c
+
(
a
.
b
)
c
×
a
+
(
a
.
c
)
a
×
b
=
[
b
c
a
]
a
Reason: If the vectors
a
,
b
,
c
are non-coplanar, then so are
b
×
c
,
c
×
a
,
a
×
b
Q.
If
→
a
,
→
b
,
→
c
are three non-coplanar vectors,
→
p
,
→
q
,
→
r
are non-zero vectors such that
→
p
=
→
b
×
→
c
[
→
a
→
b
→
c
]
,
→
q
=
→
c
×
→
a
[
→
a
→
b
→
c
]
,
→
r
=
→
a
×
→
b
[
→
a
→
b
→
c
]
,
then the value of the expression
(
→
a
+
→
b
+
→
c
)
,
(
→
p
+
→
q
+
→
r
)
is
Q.
If
A
,
B
and
c
are three non-coplanar vectors, then
(
A
+
B
+
C
)
.
[
(
A
+
B
)
×
(
A
+
C
)
]
equals
Q.
If
a
,
b
,
c
are three non-coplanar vectors, then
(
a
+
b
+
c
)
⋅
(
(
a
+
b
)
×
(
a
+
c
)
)
is equal to
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