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Byju's Answer
Standard XII
Physics
Vector Addition
If a , b an...
Question
If
→
a
,
→
b
and
→
c
are three non-zero vectors such that
→
a
.
→
b
=
→
a
.
→
c
,
then
A
→
b
=
→
c
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B
→
a
⊥
→
b
,
→
c
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C
→
a
⊥
→
b
−
→
c
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D
either
→
a
⊥
(
→
b
−
→
c
)
or
→
b
=
→
c
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Solution
The correct option is
D
either
→
a
⊥
(
→
b
−
→
c
)
or
→
b
=
→
c
Here If
→
a
,
→
b
and
→
c
are three non-zero vectors such that
→
a
.
→
b
=
→
a
.
→
c
→
a
.
→
b
-
→
a
.
→
c
=
0
→
a
.
(
→
b
−
→
c
)
=
0
→
a
=
0
,
(
→
b
−
→
c
)
=
0
→
a
=
0
or
→
b
=
→
c
Therefore from this , we get
Either
→
a
⊥
(
→
b
−
→
c
)
or
→
b
=
→
c
Hence Option
(
D
)
Suggest Corrections
0
Similar questions
Q.
If
→
a
,
→
b
,
→
c
be the three non-zero and non-collinar vectors such that
→
a
×
→
b
=
→
c
and
→
b
×
→
c
=
→
a
, then which of the following is/are true
Q.
If
→
a
,
→
b
,
→
c
are any three non-zero vectors such that
(
→
a
+
→
b
)
⋅
→
c
=
(
→
a
−
→
b
)
⋅
¯
¯
c
=
0
,
then
(
→
a
×
→
b
)
×
→
c
=
Q.
If
→
a
,
→
b
,
→
c
are non coplanar non zero vectors such that
→
b
×
→
c
=
→
a
,
→
a
×
→
b
=
→
c
and
→
c
×
→
a
=
→
b
,
then which of the following is not correct?
Q.
Let
→
a
,
→
b
,
→
c
are three non zero vectors such that any two of them are non-collinear. If
→
a
+
→
b
is collinear with
→
c
and
→
b
+
→
c
is collinear with
→
a
, then the value of
→
a
+
→
b
+
→
c
equals
Q.
If
(
→
a
×
→
b
)
×
→
c
=
→
a
×
(
→
b
×
→
c
)
where
→
a
,
→
b
and
→
c
are three non-zero vectors such that
→
a
⋅
→
b
≠
0
,
→
b
⋅
→
c
≠
0
,
then
→
a
and
→
c
are
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