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Byju's Answer
Standard XII
Physics
Vectors and Its Types
A unit vector...
Question
A unit vector along the direction
^
i
+
^
j
+
^
k
has a magnitude:
A
√
3
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B
√
2
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C
1
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D
0
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Solution
The correct option is
C
1
A
u
n
i
t
v
e
c
t
o
r
a
l
o
n
g
a
n
y
d
i
r
e
c
t
i
o
n
a
l
w
a
y
s
h
a
s
m
a
g
n
i
t
u
d
e
=
1
C
)
A
n
s
.
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1
Similar questions
Q.
Let,
→
a
=
^
i
+
2
^
j
+
^
k
,
→
b
=
^
i
−
^
j
+
^
k
,
→
c
=
^
i
+
^
j
−
^
k
.
A vector coplanar to
→
a
and
→
b
has a projection along
→
c
of magnitude
1
√
3
, then the vector is
Q.
Let,
→
a
=
^
i
+
2
^
j
+
^
k
,
→
b
=
^
i
−
^
j
+
^
k
,
→
c
=
^
i
+
^
j
−
^
k
.
A vector coplanar to
→
a
and
→
b
has a projection along
→
c
of magnitude
1
√
3
, then the vector is
Q.
A unit vector in the direction of resultant vector of
→
A
= -2
^
i
+3
^
j
+
^
k
and
→
B
=
^
i
+2
^
j
-4
^
k
is
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.
^
i
a
n
d
^
j
are unit vectors along along x- and y- axis respectively. What is the magnitude and direction of the vectors
^
i
+
^
j
.and
^
i
−
^
j
?What are the components of a vector A= 2
^
i
+
3
^
j
along the directions of
^
i
+
^
j
and
^
i
−
^
j
?[You may use graphical method]
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