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Q.

The adjacent sides of a parallelogram is represented by vectors 2i^+3j^  and  i^+4j^ the area of the parallelogram is

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a

5 units

b

3 units

c

8 units 

d

11 units 

answer is A.

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Detailed Solution

 a=2i^+3J^ b=i^+4J^
 Area of parallelogram  (a×b)
 [iJx230140] i(0)(j)(0)+x(8)=5x a×b=5x |a×b|=25=5units

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