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13 Nov 2019
1. True or False? Explain The line given by z = 1+t, y =-2t, z = 3-t is perpendicular to the plane-z+2y+2 (a) (b) If C is a differentiable curve whose tangent vectors are orthogonal to a continuous SD vector field F at each point on C, then JcF . dr = 0. (c) If F is a conservative vector field, then Je F-dr = 0 for all curves C. (d) For the function f(x, y)-y -y'r, the maximum rate of change at the point (1, 1) occurs in the direction (1,-1) (e) The curvature at any point on the circle z'ty-r2 is K = 1/r2 (f) A conservative vector field F(z,y) = ãP(z,y),Q(z,y)) is defined as one for which
1. True or False? Explain The line given by z = 1+t, y =-2t, z = 3-t is perpendicular to the plane-z+2y+2 (a) (b) If C is a differentiable curve whose tangent vectors are orthogonal to a continuous SD vector field F at each point on C, then JcF . dr = 0. (c) If F is a conservative vector field, then Je F-dr = 0 for all curves C. (d) For the function f(x, y)-y -y'r, the maximum rate of change at the point (1, 1) occurs in the direction (1,-1) (e) The curvature at any point on the circle z'ty-r2 is K = 1/r2 (f) A conservative vector field F(z,y) = ãP(z,y),Q(z,y)) is defined as one for which
Nestor RutherfordLv2
2 Sep 2019