The vectors a\mathbf{a}a and b\mathbf{b}b are defined as a=4i−2j−5k\mathbf{a} = 4\mathbf{i} - 2\mathbf{j} - 5\mathbf{k}a=4i−2j−5k and b=xi+yj+zk\mathbf{b} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}b=xi+yj+zk.
Given that the resultant force of a\mathbf{a}a and b\mathbf{b}b is i+3j−2k\mathbf{i} + 3\mathbf{j} - 2\mathbf{k}i+3j−2k, find the values of xxx, yyy, and zzz.
