For the following vectors u andv, express u as the sum u= p +n where p is parallel to v and n isothogonal to v.
u = <4,3,0>
v = <1,1,1>
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Find a vector U that is parallel to the yz-plane and perpendicularto the vector V = <2,3,-1>U=
solve quickly please! thanks a lot
Let
F =
< z, 0, y >
G(u, v) = (u2 â v, u, v2) and let S be the oriented surface parametrized by
for
0 ⤠u ⤠6, â1 ⤠v ⤠4.
Calculate the normal component of F to the surface at
P = (24, 5, 1) = G(5, 1).
Give a parametric description of the form r(u,v)=(x(u,v), y(u,v), Z(u,v)) for the following surface.
The cap of the sphere x^2 + y^2 + z^2 = 36, for 3 < z < 6