Question

The adjacent sides of a parallelogram are represented by i^+4j^ and 7i^+3j^ the area of parallelogram is

Answer 1

Answer:

THE REQUIRED AREA OF PARALLELOGRAM IS 25 sq. unit.

Explanation:

The explaination is given in figure.

The explaination is given in figure.HOPE THIS WILL HELP YOU.

Answer 2

Answer:

The area of the parallelogram is 25 units

Explanation:

Let a=i+4j and b=7i+3j

Area of paralleogram A×B=(i+4j)(7i+3j)

⇒A×B=(7i²+3ji+28ij+12j²)

⇒A×B=(0+28k-3k+0)=xi+yj+zk

Comparing we can see that the i and j components are zero and the k component is 25

So now taking the magnitude of the vectors to find the area of the parallelogram,

√0²+25²+0²=25 units

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