2. If Ā= 2i – 39 +4Â , then choose the correct options among the following (MAD)
a) The component of A in xy plane is V13
b) The component of Ä in xz plane is 20
c) The component of Ä in xy plane is V16
2
d) The angle made by vectors Ā with x axis is equal to cos!
29
Identify the correct options about a vector î + j .(MAQ)
a) It is a unit vector b) It is proper vector c) It is not a unit vector
d)It's magnitute is √2.
Please answer the question
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11th
Physics
Work, Energy and Power
Scalar Product
Find the components of a⃗ = ...
PHYSICS
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Asked on December 27, 2019 by
Sesha Reddy
Find the components of
a
=2
i
^
+3j along the directions of vectors
i
^
+
j
^
and
i
^
−
j
^
:
MEDIUM
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ANSWER
Let the given vector be
a
=2
i
^
+3
j
^
To find the component of 'a' along
i
^
+
j
^
we have to find unit vector along
i
^
+
j
^
Let the unit vector be
a
^
a
^
=
∣
i
^
+
j
^
i
^
+
j
^
=
2
1
(
i
^
+
j
^
)
Component of
a
along
i
^
+
j
^
=(
a
⋅
a
^
)
a
^
=[(2
i
^
+3
j
^
)⋅
2
1
(
i
^
+
j
^
)]
2
1
(
i
^
+
j
^
)
=[
2
1
(2+3)]
2
1
(
i
^
+
j
^
)
=
2
5
[
2
1
(
i
^
+
j
^
)]
=
2
5
i
^
+
2
5
j
^
Component of
a
along
i
^
−
j
^
=(
a
⋅
a
^
)
a
^
=[(2
i
^
+3
j
^
)⋅
2
1
(
i
^
−
j
^
)]
2
1
(
i
^
−
j
^
)
=[
2
1
(2−3)]
2
1
(
i
^
−
j
^
)
=
2
−1
[
2
1
(
i
^
−
j
^
)]
=−
2
1
i
^
+
2
1
j
^
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