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Byju's Answer
Standard XII
Physics
Unit Vectors
The cross pro...
Question
The cross product of vectors A =
(
ˆ
i
+
ˆ
j
)
and B =
(
ˆ
i
+
ˆ
k
)
in
A
ˆ
i
+
ˆ
j
+
ˆ
k
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B
ˆ
i
−
ˆ
j
+
ˆ
k
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C
ˆ
i
+
ˆ
j
−
ˆ
k
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D
ˆ
i
−
ˆ
j
−
ˆ
k
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Solution
The correct option is
D
ˆ
i
−
ˆ
j
−
ˆ
k
A
×
B
=
(
ˆ
i
+
ˆ
j
)
×
(
ˆ
i
+
ˆ
k
)
=
ˆ
i
×
ˆ
i
+
ˆ
i
×
ˆ
k
+
ˆ
j
×
ˆ
i
+
ˆ
j
×
ˆ
k
=
0
−
ˆ
j
−
ˆ
k
+
ˆ
i
which is choice (d)
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5
Similar questions
Q.
The cross product of vectors A =
(
ˆ
i
+
ˆ
j
)
and B =
(
ˆ
i
+
ˆ
k
)
in
Q.
The cross product of vectors A =
(
ˆ
i
+
ˆ
j
)
and B =
(
ˆ
i
+
ˆ
k
)
in
Q.
Find the cross product of two vectors
¯
¯¯
¯
A
=
3
^
i
+
2
^
j
−
4
^
k
and
→
B
=
2
^
i
−
3
^
j
−
6
^
k
. Also find the magnitude of
→
A
×
→
B
Q.
(i) Dot product of a vector with
i
^
+
j
^
-
3
k
^
,
i
^
+
3
j
^
-
2
k
^
and
2
i
^
+
j
^
+
4
k
^
are 0, 5 and 8 respectively. Find the vector.
(ii) Dot products of a vector with vectors
i
^
-
j
^
+
k
^
,
2
i
^
+
j
^
-
3
k
^
and
i
^
+
j
^
+
k
^
are respectively 4, 0 and 2. Find the vector.
Q.
Find the scalar and vector products of two vectors,
a
=
(
3
^
i
−
4
^
j
+
5
^
k
)
and
b
=
(
−
2
^
i
+
^
j
−
3
^
k
)
.
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