Just true false with justification 6) 7) 8) 10) The identity Proje(w) = Proj(v) holds for all

Just true false with justification

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6) 7) 8) 10) The identity Proje(w) = Proj(v) holds for all vectors v, w. 11) The formula r(u, v) (2u, (9+ u²) cos(v), (9+ u²) sin(v)) gives a parametrization of a one-sheeted hyperboloid. (sin(t), t², cos(t)) for t = [0, 107] is located on a The space curve r(t) cylinder. 9) If a vector field F(x, y) is a gradient field, then any line integral along any closed ellipse is zero. = The line integral of the vector field F(x, y, z) = (x, y, z) along a circle in the xy-plane is zero. The parametrization r(u, v) = (cos(u), sin(u), v) describes a cone. 6) 7) 8) 10) The identity Proje(w) = Proj(v) holds for all vectors v, w. 11) The formula r(u, v) (2u, (9+ u²) cos(v), (9+ u²) sin(v)) gives a parametrization of a one-sheeted hyperboloid. (sin(t), t², cos(t)) for t = [0, 107] is located on a The space curve r(t) cylinder. 9) If a vector field F(x, y) is a gradient field, then any line integral along any closed ellipse is zero. = The line integral of the vector field F(x, y, z) = (x, y, z) along a circle in the xy-plane is zero. The parametrization r(u, v) = (cos(u), sin(u), v) describes a cone.