If `vec(A)=4hat(i)-3hat(j)` and `vec(B)=6hat(i)+8hat(j)`,then find the magnitude and direction of `vec(A)+vec(B)`.

Explanation

To solve the problem, we need to find the resultant vector \(\vec{A} + \vec{B}\), its magnitude, and its direction. Let's break this down step by step.

### Step 1: Add the vectors \(\vec{A}\) and \(\vec{B}\)

Given:
\[ \vec{A} = 4\hat{i} - 3\hat{j} \]
...