Given vector fields (x,y,z)= 3x2, + 4ya,+zā, G(x, y, z) = był, - 8x2 + z 2 #x,y,z)--3(y - 1) , +4(x - 1), - 15 xya, At the point P(1,1,0) determine the following: a) The fields at the point P, i.e. F, G, Hp, where Fr-Fix = 1, y = 1,2-0), etc.; (10 points) b) The magnitudes of the fields at point P, i.e. 17:1. Gr. Hp: (15 points) c) The unit vectors for F,Gp, at the point P. i.e. as, acr, aur: (15 points) d) The magnitudes of the unit vectors at point P, i.e. Jarl lacul, lur: (10 points) e) Angle between Fr and Gp, i.e.Org : angle between Fp and Hp. i.e.Orm : (15 points) 1) Two unit vectors normal to both F, and Hp : (15 points) g) If C = F, XH, and D = 7+ã, determine the scalar and vector projections of in the direction of D.(20 points) Extra credit (10 points): Determine the vectors and Co. i.e. the vector contributions in the directions parallel and perpendicular to D, respectively, such that = +Cp
Purchase answer to see full attachment