Question

Find the value 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

Let $a=2\hat{i}+3\hat{j}$ and $b=x\hat{i}+y\hat{j}$ be two given vectors.
Comparing coefficients of $\hat{i}and\hat{j}$ of both a and b, we have
$\Rightarrow x=2andy=3$