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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
In a clockwis...
Question
In a clockwise system, which of the following is true?
A
^
j
×
^
k
=
^
i
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B
^
i
.
^
i
=
0
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C
^
j
×
^
j
=
1
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D
^
k
.
^
i
=
1
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Solution
The correct option is
B
^
j
×
^
k
=
^
i
In clockwise system:
^
i
×
^
j
=
^
k
^
j
×
^
k
=
^
i
^
k
×
^
i
=
^
j
Suggest Corrections
1
Similar questions
Q.
Evaluate
^
i
×
(
^
j
×
^
k
)
+
^
j
.
(
^
i
×
^
k
)
−
^
k
.
(
^
i
×
^
i
)
Q.
Assertion :
Consider planes
P
1
:
(
→
r
−
^
i
)
.
(
^
i
−
^
j
−
^
k
)
=
0
and
P
2
:
(
→
r
−
(
2
^
i
−
^
j
−
^
k
)
)
.
(
^
i
−
2
^
k
)
×
(
2
^
i
−
^
j
−
3
^
k
)
=
0
and line
L
:
→
r
=
5
^
i
+
λ
(
^
i
−
^
j
−
^
k
)
P
1
and
P
2
are parallel planes Reason:
L
is parallel to both
P
1
and
P
2
Q.
The unit vector perpendicular to both
^
i
+
^
j
and
^
j
−
^
k
is
Q.
^
i
×
(
^
j
×
^
k
)
+
^
j
×
(
^
k
×
^
i
)
+
^
k
×
(
^
i
×
^
j
)
=
Q.
Which of the following is a unit vector in the direction of
^
i
+
^
j
+
^
k
.
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