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Let veca, vecb and vecc be unit vector s...

Let `veca, vecb and vecc` be unit vector such that `veca + vecb - vecc =0`. If the area of triangle formed by vectors `veca and vecb` is A, then what is the value of `4A^(2)` ?

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The correct Answer is:
3/4
Given, `veca+ vecb = vecc`
Now vector `vecc` is along the diagonal of the parallelogram which has adjacent side vectors `veca and vecb`.
Since `vecc` is also a unit vector, triangle formed by vector `veca and vecb` is an equilateral triangle. Then
Area of triangle = `(sqrt3)/(4)`
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