If a vector `vcer` has magnitude 14 and direction ratios 2, 3 and -6. Then, find the direction cosines and components of `vecr`, given that `vecr` makes an acute angle with X-axis.

Explanation

To solve the problem step by step, we will find the direction cosines and components of the vector \( \vec{r} \) given its magnitude and direction ratios.

### Step 1: Understand the given information
We are given:
- Magnitude of vector \( \vec{r} = 14 \)
- Direction ratios of vector \( \vec{r} = 2, 3, -6 \)

### Step 2: Establish the relationship between direction ratios and components
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