I've just had a brain block... how do I work out the distance between a point (-5,10,13) and a parametric equation:
x(t) = 57- 4t
y(t) = 75 + 5t
z(t) = -t
Use integration by parts to express:
I (n) = ∫(sin)^n (x) dx in terms of I (n-2)
Let u = sinn-1 x
du = (n-1)sinn-2 x cos x dx
v = - cos x
dv = sinx dx
so integration by parts give:
∫〖sin〗^n x dx= -cos〖x 〖sin〗^(n-1) x+(n-1) ∫〖sin〗^(n-2) 〗 x cos^2〖x dx〗
Since cos2x = 1 –...
Ive worked it out a different way... does this make sense:
x(t) = 2 + t
y(t) = -1 –t
z(t) = t
x(t) = 3 – s
y(t) = 1
z(t) = 1 + s
The directional vectors u and v, of the two lines are taken from the coefficients of the respective parameters.
u = <1, -1, 1>
v = <-1, 0, 1>
The...
For some reason the question is relating this to two balls traveling and has given the diameter of the two balls as well being 0.3 for the first one and 0.1 for the second.
Calculate the distance between the 2 lines and use this distance to prove that the are not going to intersect.
x(t) = 2 + t
y(t) = -1 –t
z(t) = t
x(t) = 3 – s
y(t) = 1
z(t) = 1 + s
I have no idea where to start with this question! please help!
[SOLVED] A plane and a point and another point
Homework Statement
According to the Flat Earth CLub, Earth is a plane described by the equation
x+y+z = 18
Also according to the Flat Earth Club, Earth will be destroyed on the day this assignment is due by an explosion that will...