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Byju's Answer
Standard XIII
Physics
Multiplication with Vectors
The area of t...
Question
The area of the parallelogram represented by the vectors
→
A
=
2
^
i
+
3
^
j
and
→
B
=
^
i
+
4
^
j
as its sides is
A
15
Units
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B
7.5
Units
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C
10
Units
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D
5
Units
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Solution
The correct option is
D
5
Units
Area of parallelogram
=
|
→
A
×
→
B
|
Here
→
A
×
→
B
=
(
2
^
i
+
3
^
j
)
×
(
^
i
+
4
^
j
)
⇒
→
A
×
→
B
=
8
^
k
−
3
^
k
⇒
→
A
×
→
B
=
5
^
k
∴
Magnitude of area
=
|
→
A
×
→
B
|
=
5
Units
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Standard XIII Physics
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