Two forces F1\mathbf{F}_1F1 and F2\mathbf{F}_2F2 act on a particle. F1=6i−3j+k\mathbf{F}_1 = 6\mathbf{i} - 3\mathbf{j} + \mathbf{k}F1=6i−3j+k and F2=xi+yj+zk\mathbf{F}_2 = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}F2=xi+yj+zk.
The total resultant force acting on the particle is 10i+4j−5k10\mathbf{i} + 4\mathbf{j} - 5\mathbf{k}10i+4j−5k. Calculate the values of the constants xxx, yyy, and zzz.
