Question

Find the values of $x$ and $y$ so that the vectors $2\hat{i}+3\hat{j}$ and $x\hat{i}+y\hat{j}$ are equal

Answer 1

The two vectors $2\hat{i}+3\hat{j}$ and $x\hat{i}+y\hat{j}$ will be equal if their corresponding components are equal.
Hence, the required values of $x$ and $y$ are $2$ and $3$ respectively.