Recent content by yanyin

does anyone know an object, when viewed from 3 differents views, looks like a circle, a square, and a triangle?

Thanks. it's a vector from origin to (1, 2, 3). which direction? i am not sure yet. let say clockwise.

Hi, if i want to find a 3x3 matrix R which represents a rotation of Pi/6 around the axis of rotation v(vector)={1, 2, 3}. how can i find it?

an electron has a velocity of 1.20 x 10^4 m/s(in the positive x direction), and an acceleration of 2.00 x 10^12 m/s^2 (in the positive z direction) in a uniform electric and magnetic field. if the electric field has magnitude of 20.0N/C (in the positive z direction), what can you determine about...

can anyone teach me how to use a different coordinate system to sketch the graph of (x-2y)=sin(pi(x+y)). i have totally no idea

Aluminum wiring has sometimes been used instead of copper for economy. According to the National Electrical Code, the maximum allowable current for 12-gauge copper wire with rubber insulation is 20A. What should be the maximum allowable current in a 12-gauge aluminum wire if the power per unit...

let C^2 be the set of functions with domain R with have first and second derivatives at all points. Defind a linear transformation T: C^2 > C^2 by T(f) = f'', in other words, each input function is mapped to its second derivative function. what is the kernel of this transformation?

for a normal solid cylindrical resistor, made of say copper, at room temperature, describe the relationshop between the current in the conductor, the drift velocity of conduction electrons in the conductor, and the thermal velocity of conduction electrons in the conductor.

Thanks matt grime, I've checked yours is correct. but can you show me how the above equation is reached.

if R = sinti+sqrt(2)costj+sintk, 0<=t<=Pi/2 please eliminate t to determine the cartesian equation of R(t). Put limits on the variables and verbally describe the curve

explain why each of the following statemens is either true of false. (a) if A is a 3X3 matrix and {v1, v2, v3} is linearly dependent set of vectors in R^3, then {Av1, Av2, Av3} is also a linearly dependent set. (b) if A is a 3X3 invertible matrix and {v1, v2, v3} is a linearly independent...

to repair a power supply for a stereo amplifier, an electronics technician needs a 100-uF(microfarads) capacitor capable of withstanding a potential difference of 90V between the plates. the only available supply is a box of five 100-uF (microfarads) capacitors. each having a maximum voltage...

i found a very simple, basic and easy to understand solution on the web, take a look if you like: http://www.mis.coventry.ac.uk/jtm/slides/8/sld8p5.pdf

explain how you go about finding the shortest distance between 2 non-parallel lines (i.e. skew lines). for example: x=3-2t, y=1-4t, z = t and (x+2)/3=y+1=(z+1)/-2

how about not first assuming a=3, b=1 and c=2, but instead using equations to figure out the vectors