Question

# Find the value of x and y so that the value of vectors $2\hat i + 3\hat j$ and $x\hat i + y\hat j$ are equal.

For finding the values of $x$ and $y$
$\vec a = 2\hat i + 3\hat j = 2\hat i + 3\hat j + 0\hat k \\ \vec b = x\hat i + y\hat j = x\hat i + y\hat j + 0\hat k \\$
$\vec a = \vec b$