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Math Help - Geometrical Representation

  1. #1
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    Geometrical Representation

    Hi,

    How do I represent {5,7,3} x [1,2] geometrically?
    I know to represent the cross product of 2 vectors. But , here, I am not sure , since the brackets used for both are different . Does it mean that {5,7,3} is a set/vector and [1,2] is a matrix?
    Also, does the 'x' mean multiplication or cross product?
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  2. #2
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    Quote Originally Posted by Sabita View Post
    Hi,

    How do I represent {5,7,3} x [1,2] geometrically?
    I know to represent the cross product of 2 vectors. But , here, I am not sure , since the brackets used for both are different . Does it mean that {5,7,3} is a set/vector and [1,2] is a matrix?
    Also, does the 'x' mean multiplication or cross product?
    I suspect that {5, 7, 3} is a set and [1, 2] is an interval on the real line. So this "multiplication" would be the set of all ordered pairs of the form \{(5, x), (7, y), (3, z)|x, y, z \in [1, 2] \}.

    Can you think of a way to interpret that geometrically?

    -Dan
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  3. #3
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    Quote Originally Posted by Sabita View Post
    Hi,

    How do I represent {5,7,3} x [1,2] geometrically?
    I know to represent the cross product of 2 vectors. But , here, I am not sure , since the brackets used for both are different . Does it mean that {5,7,3} is a set/vector and [1,2] is a matrix?
    Also, does the 'x' mean multiplication or cross product?

    Under what chapter is this question given?
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  4. #4
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    Hi
    Thanks for the replies.
    What would be the values of x,y,z?
    The question is taken from a list of miscellaneous problems from linear Algebra and Elementary Algebra.
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  5. #5
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    How do I know which values between that interval I can take as x,y,z?
    What if I take x=3/2 , y=1, z=1?
    Would it be right?
    For the next set of values can I take x=1,y=1 ,z=3/2?

    I dont understand this at all!!!
    All I know is that (for eg) {5,7,3} x {1,2} ={(5,1),(5,2),(7,1),(7,2),(3,1),(3,2)}
    If I plot all these points on a graph ,I would get a 3 sets of lines.
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