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(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
(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)=
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