Metallic systems with one-dimensional chain-like atomic structure can support unusual mechanisms for electron pairing leading to superconductivity. K_2Cr_3As_3 is one of a family of recently discovered one-dimensional superconductors which has a transition temperature of 6.1 K, a value nearly five times higher than that of (TMTSF)_2ClO_4, the most well-studied previous example of a 1D superconductor. This work will use a range of implanted muon techniques to measure key superconducting parameters of K_2Cr_3As_3 and test the nature of the unconventional superconductivity in this intriguing new system.