Recent content by featheredteap

Homework Statement Prove the following vector identity: \nablax(AxB) = (B.\nabla)A - (A.\nabla)B + A(\nabla.B) - B(\nabla.A) Where A and B are vector fields. Homework Equations Curl, divergence, gradient The Attempt at a Solution I think I know how to do this: I have to...

Homework Statement Let T be the linear transformation T: M2x2-->M2x2 given by T([a,b;c,d]) = [a,b;c,d][0,0;1,1] = [b,b;d,d] Find bases (consisting of 2x2 matrices) for the image of T and the nullspace of T. Homework Equations Standard basis of a 2x2 matrix...

Man, I can't believe I didn't think of that myself. thanks for your help!

Homework Statement Find the vector equation of the line that passes through the point Q(2,0,-5) and is perpendicular to both the vectors m=(0,1,4) and n=(-2,-1,3). Homework Equations vector equation of a line: (x, y, z)=(x0,y0,z0) + t(a,b,c) cartesian equation of a line...