Answer
$$ v\times i =cj-bk $$
$$ v\times j= -ci+ak.$$
$$ v\times k= bi-aj.$$
Work Step by Step
First, we can write $$ v=ai+bj+ck.$$
Now, we have
$$ v\times i=(ai+bj+ck)\times i\\
=a i\times i+b j\times i+c k\times i\\
=-bk+cj=cj-bk $$
$$ v\times j=(ai+bj+ck)\times j\\
=a i\times j+b j\times j+c k\times j\\
=ak-ci=-ci+ak.$$
$$ v\times k=(ai+bj+ck)\times k\\
=a i\times k+b j\times k+c k\times k\\
=-aj+bi=bi-aj.$$
