If vec(a),vec(b) and vec(c) are three no...

If `vec(a),vec(b)` and `vec(c)` are three non-coplanar vectors, then find the value of `(hat(a)(vec(a)xxvec(c)))/(vec(b)(vec(c)xxvec(a)))+(vec(b)(vec(c)xxvec(a)))/(vec(c)(vec(a)xxvec(b)))+(vec(c)(vec(b)xxvec(a)))/(vec(a)(vec(b)xxvec(c)))`

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The correct Answer is:

`1+1-1=1`

If `vec(a),vec(b)` and `vec(c)` are three non-coplanar vectors, then find the value of `(hat(a)*(vec(a)xxvec(c)))/(vec(b)*(vec(c)xxvec(a)))+(vec(b)*(vec(c)xxvec(a)))/(vec(c)*(vec(a)xxvec(b)))+(vec(c)*(vec(b)xxvec(a)))/(vec(a)*(vec(b)xxvec(c)))`