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If vec(A)=2hat(i)-2hat(j)-hat(k) and vec...

If `vec(A)=2hat(i)-2hat(j)-hat(k)` and `vec(B)=hat(i)+hat(j)`, then:
(i) Find angle between `vec(A)` and `vec(B)`
(ii) Find the projection of resultant vector of `vec(A)` and `vec(B)` on x-axis.
(iii) Find a vector which is, if added to `vec(A)`, gives a unit vector along y-axis.

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