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j is :-The area of parallelogram represented by the vectors A = 2i +3j and B-1 +4(A) 14 unit(B) 7.5 unit(C) 10 unitD) 5 unit

Answer»

Given A = 2i+3j and B = i+4j .

Area of paralleogram A x B = (2i+3j+0k) x(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 magnitudeof this vector to find the area of the parallelogram:

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

= 0 + 0 + 5(Square and root will be cancelled)

= 5 units.


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