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If the three vectors vec(a), vec(b) and ...

If the three vectors `vec(a), vec(b)` and `vec(c)` are given as `a_(1)hat(i) + a_(2)hat(j) + a_(3)hat(k), b_(1)hat(i) + b_(2)hat(j) + b_(3)hat(k)` and `c_(1)hat(i) + c_(2)hat(j) + c_(3)hat(k)`. Then, show that `vec(a) xx (vec(b) + vec(c)) = (vec(a) xx vec(b)) + (vec(a) xx vec(c))`.

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The correct Answer is:
`(vec(a) xx vec(b)) + (vec(a) xx vec(c))`
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