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Byju's Answer
Standard VIII
Mathematics
Drawing 2 - D Shapes Using Geoboard (Dot Grid)
Find a unit v...
Question
Find a unit vector perpendicular to \overrightarrow A=2\overset∧ i+ 3\overset∧ j+ \overset{∧ }k and \overrightarrow B=\overset∧ i- \overset∧ j+ \overset{∧ }kboth.
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Similar questions
Q.
Find the vector of magnitude
√
171
which is perpendicular to both of the vectors
r
a
=
∧
i
+
2
∧
j
−
3
∧
k
and
1
b
=
3
∧
i
−
∧
j
+
2
∧
k
.
Q.
Find a vector perpendicular to each of the vectors
→
a
+
→
b
and
→
a
−
→
b
, where
→
a
=
∧
i
+
∧
j
+
∧
k
,
→
b
=
∧
i
+
2
∧
j
+
3
∧
k
.
Q.
Let
→
a
=
4
^
i
+
5
^
j
−
^
k
,
→
b
=
^
i
−
4
^
j
+
5
^
k
and
→
c
=
3
^
i
+
^
j
−
^
k
. Find a vector
→
d
which is perpendicular to both
→
c
and
→
b
and
→
d
⋅
→
a
=
21
.
Q.
Let
→
a
=
→
i
+
→
j
+
√
1
^
k
,
→
b
=
b
1
^
i
+
b
1
^
j
+
√
2
^
k
and
→
c
=
5
^
i
+
^
j
+
√
2
^
k
be three vectors such that the projection vector of
→
b
on
→
a
is
→
a
. If
→
a
+
→
b
is perpendicular to
→
c
, the
|
→
b
|
is equal to :
Q.
Let
∧
u
=
u
1
∧
i
+
u
2
∧
j
+
u
3
∧
k
be a unit vector in
R
3
and
∧
w
=
1
√
6
(
∧
i
+
∧
j
+
2
∧
k
)
. Given that there exists a vector
→
v
in
R
3
such that
∣
∣
∧
u
×
→
v
∣
∣
=
1
and
∧
w
.
(
∧
u
×
→
v
)
=
1
. Which of the following statements is(are) correct?
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