1.If a⃗=2i^+k^\vec{a} = 2\hat{i} + \hat{k}a=2i^+k^, b⃗=i^+j^+k^\vec{b} = \hat{i} + \hat{j} + \hat{k}b=i^+j^+k^, c⃗=4i^−3j^+7k^\vec{c} = 4\hat{i} - 3\hat{j} + 7\hat{k}c=4i^−3j^+7k^, then the vector r⃗\vec{r}r satisfying r⃗×b⃗=c⃗×b⃗\vec{r} \times \vec{b} = \vec{c} \times \vec{b}r×b=c×b and r⃗⋅a⃗=0\vec{r} \cdot \vec{a} = 0r⋅a=0 isa.i^+8j^+2k^\hat{i} + 8\hat{j} + 2\hat{k}i^+8j^+2k^b.i^−8j^+2k^\hat{i} - 8\hat{j} + 2\hat{k}i^−8j^+2k^c.i^−8j^−2k^\hat{i} - 8\hat{j} - 2\hat{k}i^−8j^−2k^d.−i^−8j^+2k^-\hat{i} - 8\hat{j} + 2\hat{k}−i^−8j^+2k^Login to continueOnly logged in users canattempt or see the solution.