Answer
i $\bullet$ j = j $\bullet$ k =k $\bullet$ i =0
i $\bullet$ i = j $\bullet$ j =k $\bullet$ k =1
Work Step by Step
a)
i $\bullet$ j = <1,0,0> $\bullet$ <0,1,0> is: 0×0 + 0×0 + 0×0 = 0
j $\bullet$ k = <0,1,0> $\bullet$ <0,0,1> is: 0×0 + 0×0 + 0×0 = 0
k $\bullet$ i = <0,0,1> $\bullet$ <1,0,0> is: 0×0 + 0×0 + 0×0 = 0
b)
i $\bullet$ i = <1,0,0> $\bullet$ <1,0,0> is: 1×1 + 0×0 + 0×0 = 1
j $\bullet$ j = <0,1,0> $\bullet$ <0,1,0> is: 0×0 + 1×1 + 0×0 = 1
k $\bullet$ k = <0,0,1> $\bullet$ <0,0,1> is: 0×0 + 0×0 + 1×1 = 1
