Find the component of a vector ` vec A = 3 hat I + 4 hat j` along the direction of ` 2hat I -3 hat j`.

Explanation

To find the component of the vector \( \vec{A} = 3 \hat{i} + 4 \hat{j} \) along the direction of the vector \( \vec{B} = 2 \hat{i} - 3 \hat{j} \), we can follow these steps:

### Step 1: Find the unit vector of \( \vec{B} \)
The unit vector \( \hat{B} \) in the direction of \( \vec{B} \) is given by:

\[ \hat{B} = \frac{\vec{B}}{|\vec{B}|} \]
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