1.
If a=2i^+k^\vec{a} = 2\hat{i} + \hat{k}, b=i^+j^+k^\vec{b} = \hat{i} + \hat{j} + \hat{k}, c=4i^3j^+7k^\vec{c} = 4\hat{i} - 3\hat{j} + 7\hat{k}, then the vector r\vec{r} satisfying r×b=c×b\vec{r} \times \vec{b} = \vec{c} \times \vec{b} and ra=0\vec{r} \cdot \vec{a} = 0 is