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Math Help - parametric equation of the line through a point and parallel to a vector

  1. #1
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    parametric equation of the line through a point and parallel to a vector

    can you pleaase check and let me know if i have done the below question correctlly, if not any help would be appreciated

    Find the parametric equation of the line through the point (3,-1)and parallel to v = (3,1,-2)

    Assuming that the points (3, -1) were from another vector.
    equation is

    X=(3,-1,0)+ t (3,1,-2)
    that is x=3+t3
    y=(-1)+t
    z=(-2)t

    this is the line through the points (3,-1)
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    Re: parametric equation of the line through a point and parallel to a vector

    Quote Originally Posted by flametag3 View Post
    can you pleaase check and let me know if i have done the below question correctlly, if not any help would be appreciated
    Find the parametric equation of the line through the point (3,-1)and parallel to v = (3,1,-2)
    Assuming that the points (3, -1) were from another vector.
    equation is
    X=(3,-1,0)+ t (3,1,-2)
    that is x=3+t3
    y=(-1)+t
    z=(-2)t

    this is the line through the points (3,-1)

    You are mixing apples and oranges; \mathbb{R}^2\text{ with }\mathbb{R}^3.

    So the question makes no sense.
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    Re: parametric equation of the line through a point and parallel to a vector

    Quote Originally Posted by Plato View Post
    You are mixing apples and oranges; \mathbb{R}^2\text{ with }\mathbb{R}^3.

    So the question makes no sense.
    Last time I checked, Plato, any point or vector in 2D space is the same as any point or vector in 3D space on the plane where z = 0. So the 2D vector (3, -1) IS the same as the 3D vector (3, -1, 0).

    To the OP, your answer is correct
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    Re: parametric equation of the line through a point and parallel to a vector

    Quote Originally Posted by Prove It View Post
    Last time I checked, Plato, any point or vector in 2D space is the same as any point or vector in 3D space on the plane where z = 0. So the 2D vector (3, -1) IS the same as the 3D vector (3, -1, 0).

    That is total nonsense.
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    Re: parametric equation of the line through a point and parallel to a vector

    No, completely logical actually
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