Find the all the values of `lamda` such that (x,y,z)! =(0,0,0)and `x(hati+hatj+3hatk)+y(3hati-3hatj+hatk)+z(-4hati+5hatj)=lamda(xhati+yhatj+zhatk)`

Explanation

To solve the problem, we need to find the values of \( \lambda \) such that:

\[ x(\hat{i} + \hat{j} + 3\hat{k}) + y(3\hat{i} - 3\hat{j} + \hat{k}) + z(-4\hat{i} + 5\hat{j}) = \lambda(x\hat{i} + y\hat{j} + z\hat{k}) \]

### Step 1: Rewrite the equation

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