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NDA Math Vector Algebra
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© examsnet.com
Question : 23
Total: 101
If
^
a
is a unit vector in the
x
y
-plane making an angle
30
°
with the positive
x
-axis, then what is
^
a
equal to ?
[NDA-I 2020]
√
3
^
i
+
^
j
2
√
3
^
i
−
^
j
2
^
i
+
√
3
^
j
2
^
i
−
√
3
^
j
2
Validate
Solution:
👈: Video Solution
Let
A
(
x
^
i
,
y
^
j
)
is a point in the
x
y
-plane.
From question,
∠
A
O
B
=
30
°
and
O
A
=
1
x
=
|
O
A
|
.
cos
30
°
=
1
×
√
3
2
^
i
=
√
3
2
^
i
y
=
|
O
A
|
.
sin
30
°
=
1
×
1
2
^
j
=
^
j
2
∴
→
a
=
√
3
2
^
i
+
1
2
^
j
=
√
3
^
i
+
1
^
j
2
© examsnet.com
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