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Byju's Answer
Standard XII
Mathematics
Cross Product of Two Vectors
lf the Vector...
Question
lf the Vector
¯
¯
¯
c
,
→
a
=
x
^
i
+
y
^
j
+
z
^
k
,
→
b
=
^
j
are such that
→
a
,
→
c
,
→
b
form
R
.
H
.
S
then
→
c
=
A
z
^
i
−
x
^
k
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B
x
^
i
−
z
^
k
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C
x
^
j
−
y
^
k
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D
y
^
j
−
x
^
k
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Solution
The correct option is
C
z
^
i
−
x
^
k
→
b
×
→
a
=
→
c
(
A
s
→
a
,
→
c
,
→
b
a
r
e
i
n
R
.
H
.
S
)
→
b
×
→
a
=
∣
∣ ∣ ∣
∣
^
i
^
j
^
k
0
1
0
x
y
z
∣
∣ ∣ ∣
∣
=
z
^
i
−
x
^
k
So
→
c
=
z
→
i
−
x
→
k
Suggest Corrections
0
Similar questions
Q.
Let
→
a
=
^
j
−
^
k
,
→
b
=
x
^
i
+
^
j
+
(
1
−
x
)
^
k
and
→
c
=
y
^
i
+
x
^
j
+
(
1
+
x
−
y
)
^
k
. Then
[
→
a
,
→
b
,
→
c
]
depends on
Q.
Let
→
a
=
^
i
−
^
k
,
→
b
=
x
^
i
+
^
j
+
(
1
−
x
)
^
k
and
→
c
=
y
^
i
+
x
^
j
+
(
1
+
x
−
y
)
^
k
,
then
[
→
a
→
b
→
c
]
depends on
Q.
The vectors
→
c
,
→
a
=
x
^
i
+
y
^
j
+
z
^
k
and
→
b
=
^
j
are such that
→
a
,
→
c
and
→
b
form a right handed system then
→
c
can be
Q.
Let
^
i
,
^
j
,
^
k
be three mutually or orthogonal unit vectors and let
x
,
y
,
z
be three distinct real numbers. If the vectors
→
u
=
x
^
i
+
y
^
j
+
z
^
k
,
→
v
=
y
^
i
+
z
^
j
+
x
^
k
and
→
w
=
z
^
i
+
x
^
j
+
y
^
k
are coplanar then
Q.
Given
→
a
=
x
^
i
+
y
^
j
+
2
^
k
,
→
b
=
^
i
−
^
j
+
^
k
,
→
c
=
^
i
+
2
^
j
;
(
→
a
∧
→
b
)
=
π
2
,
→
a
.
→
c
=
4
then
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