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If vec (a) = a(1) hat (i) + a(2) hat (j)...

If `vec (a) = a_(1) hat (i) + a_(2) hat (j) + a_(3) hat (k) , vec(b) = b_(1) hat (i) + b _(2) hat (j) + b_(3) hat (k) ` and ` vec (c ) = c_(1) hat (i) + c_(2) hat (j) + c_(3) hat (k) ` prove that ` vec (a ) xx ( vec (b) + vec (c ) ) = vec ( a) xx vec ( b) + vec (a) xx vec(c) `

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