If `vecP=3hati+4hatj+12hatk` then find magnitude and the direction cosines of the `vecP`.

Explanation

To find the magnitude and direction cosines of the vector \(\vec{P} = 3\hat{i} + 4\hat{j} + 12\hat{k}\), we will follow these steps:

### Step 1: Calculate the Magnitude of \(\vec{P}\)

The magnitude of a vector \(\vec{P} = a\hat{i} + b\hat{j} + c\hat{k}\) is given by the formula:

\[
|\vec{P}| = \sqrt{a^2 + b^2 + c^2}
...