If vectors `hati-2xhatj-3yhatk and hati+ 3 x hatj + 2yhatk` are orthogonal to each other, then find the locus of th point (x,y).

Explanation

To find the locus of the point (x, y) for the given vectors that are orthogonal, we will follow these steps:

### Step 1: Define the vectors
Let the two vectors be:
1. **Vector A**: \( \hat{i} - 2x\hat{j} - 3y\hat{k} \)
2. **Vector B**: \( \hat{i} + 3x\hat{j} + 2y\hat{k} \)

### Step 2: Use the property of orthogonality
...