If `vec(A) = 2hat(i) + 7 hat(j) -2hat(k) and vec(B) = 2 hat(i) - 3 hat(j) + 3hat(k) ` find (i) the magnitude of each other (ii) `vec(A) + vec(B)` , (iii) `vec(A) - vec(B)`

Explanation

To solve the problem step by step, we will find the magnitude of each vector, then calculate the sum and difference of the two vectors.

### Given:
\[ \vec{A} = 2\hat{i} + 7\hat{j} - 2\hat{k} \]
\[
\vec{B} = 2\hat{i} - 3\hat{j} + 3\hat{k}
...