The Area Of The Parallelogram Represented By The Vectors A->=2i^+3j^ And B->=i^+4j^ Is?

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Abhishek 4 Years Ago
200

The area of the parallelogram represented by the vectors A->=2i^+3j^ and B->=i^+4j^ is?


(1) 14 units

(2) 7.5 units

(3) 10 units

(4) 05 units

asked Jun 11 12:00:00 AM

Abhishek

Q: 350 A: 0

1 Answers

  • 40

    Answer - 5 units

    Solution- 

    Given A = 2i+3j 

              B = i+4j

    Area of parallelogram A * B = (2i+3j+0k)*(i+4j+0k)

    For i component we have,

    (3*0) - (4*0) = 0

    For j component we have,

    (0*2) - (1*0) = 0

    For k component we have,

    (2*4) - (1*3) = 5

    Now take  the magnitude of this vector to find the area of the parallelogram:

    A*B = Whole root of 0^2 + 0^2 + 5^2

          = 0 + 0 + 5 

          = 5 Units.

     

    4 Years Ago

    asked Oct 15 12:00:00 AM

    Sangeeta

    Q: 22 A: 1924

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