Answer
Let A be matrix such that the vectors are the columns of A. Because there are 4 columns and 3 rows, the columns of A can't be linearly independent. Therefore, the set does not form the basis of $R^2$
Work Step by Step
Let A be matrix such that the vectors are the columns of A. Because there are 4 columns and 3 rows, the columns of A can't be linearly independent. Therefore, the set does not form the basis of $R^2$