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  • Perplex
    IB Math AAHL
    /
    Vectors
    /

    Problem Bank

    [Maximum mark: 17]

    The equations of three planes are given by

    ​
    Π1​:Π2​:Π3​:​x+y+z=32x−y+z=0ax+by+z=1​
    ​

    Find the set of values of ​a​ and ​b​ for which the planes

    1. do not intersect

      [6]

      To earn a crown, get your answer ready before you reveal the options!

    2. intersect along a line

      [7]
    3. intersect at a single point

      [4]

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