Question

Find a unit vector in the direction of $x\hat{i}+y\hat{j}$.

Answer 1

Given the vector is $x\hat{i}+y\hat{j}$.

Now, a unit vector in the direction of $x\hat{i}+y\hat{j}$ is $\frac{x\hat{i}+y\hat{j}}{\sqrt{x^2+y^2}}$.