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Math Help - Geometry and algebra

  1. #1
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    Geometry and algebra

    find the equation and build the place geometric

    1) located 4 units of the x axis

    I do not understand. The answer is a cylinder of equation: y^2+z^2-16=0
    As located 4 units of the x axis can form a cylinder?


    2) located 3 units the front of the plan yoz and the 5 units up the plan xoy

    The answer is a straight x=3; x=5. As i build the place geometric?
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  2. #2
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    Quote Originally Posted by Apprentice123 View Post
    find the equation and build the place geometric

    1) located 4 units of the x axis

    I do not understand. The answer is a cylinder of equation: y^2+z^2-16=0
    As located 4 units of the x axis can form a cylinder?
    well, think about 2d spaces. the geometric representation of the set of numbers 4 units from the x axis (both in the positive and negative directions) would be two lines, would it not? because along the lines y=4 or y=-4, it is constantly 4 units from the x-axis.

    extend this to 3d space now...can you start to see the cylinder?

    and im not sure about the second question sorry...the notation is kinda throwing me
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  3. #3
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    Thank you. More I can not see in the axle: x, y and z.

    The cylinder would be parallel to the axis z?


    The second issue is a straight. With x=3 and z=5
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