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Math Help - Need To Remember Solving These exercises! - Help!

  1. #1
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    Post Need To Remember Solving These exercises! - Help!

    It's been quite a while since i last have tried to solve these exercises for college.
    Can someone try to re-explain them to me along with the progressive solutions and calculus, please?

    Here they are
    1) Let B={e1=(2,1,3), e2=(1,0,1), e3=(1,1,1)}, find:
    a) B- Basis of the vector space R(to the third)
    b) expression of vector x=(2,0,3) with respect to basis B
    2) Let A(1,0,0), B(0,3,0), C(0,0,2). Calculate the volume of the tetrahedron OABC and it's altitude from A.
    3) Let A,B,C - as above :
    a) equation of plane (ABC)
    b)the projection of 0(0,0,0) onto the plane (ABC)
    4) Find the equation of the surface obtained by rotating the curve :

    (C)-|y=sinx
    |z=0 around (d)=0x
    5)Determine the tangent and the normal line to {x=4-sint and {y=1-cost, t belonging to [0, 2π] at A(t=π/2)
    and:
    6) Determine the curvature and the torsion of
    (C)r(t)= costi(vector)+sintj(vector)+tk(vector) at (0,1,π/2) t belonging to R
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  2. #2
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    We are not a homework service. Show that you've at least tried to solve these and exactly where you are stuck.
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