Recent content by Offlinedoctor

Hi I'm currently reading up on magnetism and its relation to currents but there's one thing that frustrates me and the textbook doesn't seem to elaborate on it. I understand that a current produces its own magnetic field (and we use the right-hand rule to determine this), it also makes sense...

Hi, I'm struggling to understand why we never consider normals when doing torque questions? One on the top of my head is a hand pushing a bar, 'x' metres away' from the pivot joint. From the worked examples, there is only one torque (the hand), but how come we never consider the normal...

Okay, that seems to make more sense. So does order really not matter after we've found the eigenvalues? Also, I asked my lecturer this, but she couldn't properly explain the concept of diagonlisation using nullity. Example. |2 1 0| |0 2 0| |0 0 -3| I'm trying to determine whether that is...

Homework Statement For the conic, 5x2+4xy+5y2=9, find the direction of the principal axes, sketch the curve. I found the eigenvalues as 3,7 but have no idea whether the 'new' equation is 3(x')2+7(y')2 or 7(x')2+3(y')2 is there a way to determine which 'way' it goes? I took a guess...

I'm having trouble finding the spanning set and basis for the matrix; | a b | | c d | with condition that b=d I'm thinking thinking the spanning set would be A= x B = y C = z Such that x,y,z are all reals, but I can't think of how to find a basis for this, I'm thinking of doing...

Sorry about not replying, its quite a bit to chew down. It makes quite a bit of sense actually, I just found the heavy use of equations daunting because I'm still grappling with the abstract theorems, the bit near the end, about quantum mechanics, seemed to go over my head a bit, something we...

Hi, I'm having trouble understanding the purpose of using two basis in a linear transformation. My lecturer explained that it was a way to find a linear transformation that satisfied either dimension, but I'm having trouble understanding how that relates to the method in finding this...

I'm just having trouble understanding some of the notations given, when attempting questions such as the following: {f\inF(ℝ,ℝ): f(3)=5}. Is it just saying that, the function 'f' spans all real values?

For vector such as <a,1,1>, to prove its a subspace in r3, is it alright to immediately assume its not a subspace, as it doesn't meet the zero vector condition in that, 1=\=0? And is there a specific way to set out subspace questions? I seem to just use intuition and two or three lines which...

I've just ot one more thing that's concerning me, for a question such as, find Cartesian and vector equations of a plane perpendicular to (1,0-2) and containing the point (1,-1,-3), my professor seemed to just use formula A(X-Xo)+B(Y-Yo)+C(Z-Zo)=o, and then just assigned parameters to determine...

Is it right to assume that, To find vector equations for lines in r2 and r3, we'd generally use the equation, R=Ro+tV, where Ro represents a point the line pass and V presents the vector parallel to the line, what if that vector was perpendicular instead? That's what confuses me the most. And...

I having trouble understanding the difference between parallel and orthogonal in relation to finding the relevant line or plane equations. Example; Determine the vector and Cartesian line if: a) passes through (2,1,-3) and is parallel to v=(1,2,2) What would happen if it was...