The area of parallelogram determined by A=2i^+j^-3k^ and 12j^-2k^.
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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 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(Square and root will be cancelled)
= 5 units.
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