If `vec(a) = (-3hat(i)+4hat(j)-7hat(k)) and vec(b)=(6hat(i)+ 2hat(j)-3hat(k)) find (vec(a) xxvec(b))`. Verify that (i) `vec(a) and (vec(a) xx vec(b))` are perpendicular to each other and (ii) `vec(b) and (vec(a) xx vec(b))` are perpendicular to each other.

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1.	If `vec(a) = (-3hat(i)+4hat(j)-7hat(k)) and vec(b)=(6hat(i)+ 2hat(j)-3hat(k)), " find "(vec(a) xxvec(b))`. Verify that (i) `vec(a) and (vec(a) xx vec(b))` are perpendicular to each other and (ii) `vec(b) and (vec(a) xx vec(b))` are perpendicular to each other.
Answer» Correct Answer - `(2hat(i)-51hat(j)- 30 hat(k))`

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If `vec(a) = (-3hat(i)+4hat(j)-7hat(k)) and vec(b)=(6hat(i)+ 2hat(j)-3hat(k)), " find "(vec(a) xxvec(b))`. Verify that (i) `vec(a) and (vec(a) xx vec(b))` are perpendicular to each other and (ii) `vec(b) and (vec(a) xx vec(b))` are perpendicular to each other.