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.