If `hat(i) and hat(j)` are unit vectors x and y axes repsectively , what is the magnitude and direction of `hat(i) + hat(j) and hat(i) - hat(j)` ?

Explanation

To find the magnitude and direction of the vectors \( \hat{i} + \hat{j} \) and \( \hat{i} - \hat{j} \), we can follow these steps:

### Step 1: Define the Vectors
The unit vectors are defined as:
- \( \hat{i} \) is the unit vector along the x-axis.
- \( \hat{j} \) is the unit vector along the y-axis.

### Step 2: Calculate the Magnitude of \( \hat{i} + \hat{j} \)
...