Find the values of x,y and z so that the vectors `3hati+hatj+4hatk` and `xhati+yhatj+zhatk` are equal,

Explanation

To find the values of \( x \), \( y \), and \( z \) such that the vectors \( 3\hat{i} + \hat{j} + 4\hat{k} \) and \( x\hat{i} + y\hat{j} + z\hat{k} \) are equal, we can follow these steps:

### Step 1: Set the vectors equal to each other
We start with the two vectors:
\[ \vec{a} = 3\hat{i} + \hat{j} + 4\hat{k} \]
\[
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