(1 point) Let (vec{r}=xvec{i}+yvec{j}+zvec{k}) and (vec{a}=vec{i}+5vec{j}+6vec{k}).\
(a) Find ( ext{grad}(vec{r}cdotvec{a})).\
( ext{grad}(vec{r}cdotvec{a})=)\
(b) Let C be a path from the origin to the point with position vector (vec{r}_{0}=avec{i}+bvec{j}+cvec{k}). Find (int_C ext{grad}(vec{r}cdotvec{a})cdot dvec{r}).\
(int_C ext{grad}(vec{r}cdotvec{a})cdot dvec{r}=)\
(c) If (|vec{r}_{0}|=6), what is the maximum possible value of (int_C ext{grad}(vec{r}cdotvec{a})cdot dvec{r}) ? (Be sure you can explain why your answer is correct.)\
maximum value of (int_C ext{grad}(vec{r}cdotvec{a})cdot dvec{r}=)
(1 point) Let (vec{r}=xvec{i}+yvec{j}+zvec{k}) and (vec{a}=vec{i}+5vec{j}+6vec{k}).\
(a) Find ( ext{V}(vec{r} cdot vec{a})). ( ext{V}(vec{r} cdot vec{a}) =)\
(b) Let (|vec{r}_0|=6), what is the maximum possible value of (int_C ext{V}(vec{r} cdot vec{a}) cdot dvec{r})? (Be sure you can explain why your answer is correct.) maximum value of (int_C ext{V}(vec{r} cdot vec{a}) cdot dvec{r} =)