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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
If two vector...
Question
If two vectors are
→
A
=
2
^
i
+
^
j
−
^
k
and
→
B
=
^
j
−
4
^
k
.
→
A
×
→
B
is perpendicular to
A
→
A
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B
→
B
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C
→
A
+
→
B
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D
→
A
−
→
B
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Solution
The correct options are
A
→
A
B
→
B
C
→
A
+
→
B
D
→
A
−
→
B
(
→
A
×
→
B
)
⊥
P
l
a
n
e
(
→
A
,
→
B
)
→
A
+
→
B
and
→
A
−
→
B
lie in the plane formed by
→
A
and
→
B
Hence, all the options are correct.
Suggest Corrections
0
Similar questions
Q.
If
→
a
′
=
^
i
+
^
j
,
→
b
′
=
^
i
+
^
j
+
2
^
k
and
→
c
′
=
2
^
i
+
^
j
−
^
k
.
Then altitude of the parallelopiped formed by the vectors
→
a
,
→
b
,
→
c
having base formed by
→
b
and
→
c
is
(
→
a
,
→
b
,
→
c
and
→
a
′
,
→
b
′
,
→
c
′
are reciprocal system of vectors)
Q.
Let
→
a
=
^
i
+
^
j
;
→
b
=
2
^
i
−
^
k
. Then, vector
→
r
satisfying the equations
→
r
×
→
a
=
→
b
×
→
a
and
→
r
×
→
b
=
→
a
×
→
b
is
Q.
If
→
a
=
^
i
+
^
j
,
→
b
=
^
i
+
^
k
, then
{
{
(
→
a
×
→
b
)
×
→
a
}
×
→
a
}
×
→
b
=
Q.
If
→
a
=
2
^
i
+
3
^
j
−
4
^
k
,
→
b
=
^
i
+
^
j
+
^
k
and
→
c
=
4
^
i
+
3
^
k
, then
|
→
a
×
(
→
b
×
→
c
)
|
=
Q.
If
→
a
=
2
^
i
+
^
j
−
3
^
k
,
→
b
=
^
i
−
2
^
j
+
^
k
,
→
c
=
−
^
i
+
^
j
−
4
^
k
and
→
d
=
^
i
+
^
j
+
^
k
, then
|
(
→
a
×
→
b
)
×
(
→
c
×
→
d
)
|
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