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Byju's Answer
Standard XII
Mathematics
Negative of a Vector
Let a =ĵ -k...
Question
Let
→
a
=
^
j
−
^
k
;
→
c
=
^
i
−
^
j
−
^
k
. Then the vector
→
b
satisfying
→
a
×
→
b
+
→
c
=
0
and
→
a
.
→
b
is
A
^
i
+
^
j
−
2
^
k
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B
−
^
i
+
^
j
−
2
^
k
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C
2
^
i
−
^
j
+
2
^
k
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D
^
i
−
^
j
−
2
^
k
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Solution
The correct option is
B
−
^
i
+
^
j
−
2
^
k
undefined
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Similar questions
Q.
A vector of magnitude
√
2
coplanar with the vectors
→
a
=
^
i
+
^
j
+
2
^
k
and
→
b
=
^
i
+
2
^
j
+
^
k
and perpendicular to the vector
→
c
=
^
i
+
^
j
+
^
k
is
(1)
−
^
i
−
^
k
(2)
^
j
−
^
k
(3)
^
i
−
^
j
(4)
^
i
+
^
k
Q.
If
→
a
=
^
i
+
^
j
−
2
^
k
,
then
∣
∣
(
→
a
×
^
i
)
×
^
j
∣
∣
2
+
∣
∣
(
→
a
×
^
j
)
×
^
k
∣
∣
2
+
∣
∣
(
→
a
×
^
k
)
×
^
i
∣
∣
2
=
Q.
If
¯
¯
¯
a
=
^
i
+
^
j
−
2
^
k
,
¯
¯
b
=
2
^
i
−
^
j
+
^
k
and
¯
¯
c
=
3
^
i
+
^
k
and
¯
¯
c
=
m
¯
¯
¯
a
+
n
¯
¯
b
then m + n =
Q.
If
a
=
−
^
i
+
^
j
+
2
^
k
,
b
=
2
^
i
−
^
j
−
^
k
then
c
=
−
2
^
i
+
^
j
+
3
^
k
, then the angle between 2a-c and a+b is:
Q.
A unit vector coplanar with
^
i
+
^
j
+
2
^
k
and
^
i
+
2
^
j
+
^
k
and perpendicular to
^
i
+
^
j
+
^
k
is_________
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