(1 point) Let

vec(r)=xvec(i)+yvec(j)+zvec(k)

and

vec(a)=vec(i)+5vec(j)+6vec(k)

.\ (a) Find

grad(vec(r)*vec(a))

.\

grad(vec(r)*vec(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 grad(vec(r)*vec(a))*dvec(r)

.\

\\\\int_C grad(vec(r)*vec(a))*dvec(r)=

\ (c) If

||vec(r)_(0)||=6

, what is the maximum possible value of

\\\\int_C grad(vec(r)*vec(a))*dvec(r)

? (Be sure you can explain why your answer is correct.)\ maximum value of

\\\\int_C grad(vec(r)*vec(a))*dvec(r)=

(1 point) Let r=xi+yj+zk and a=i+5j+6k. (a) Find (ra). (ra)= (b) Let C be a path from the origin to the point with position vector r0=ai+bj+ck. Find C(ra)dr. C(ra)dr= (c) If r0=6, what is the maximum possible value of C(ra)dr ? (Be sure you can explain why your answer is correct.) maximum value of C(ra)dr=