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  • Perplex
    IB Math AIHL
    /
    Vectors
    /

    Problem Bank

    [Maximum mark: 7]

    Consider the lines with vector equations

    ​
    r1​=⎝⎛​1−2a−3​⎠⎞​+λ⎝⎛​a−2a3​⎠⎞​r2​=⎝⎛​a+251​⎠⎞​+μ⎝⎛​a+92−2​⎠⎞​
    ​

    where ​a∈R.

    1. Given that the lines are perpendicular, Find the possible value(s) for ​a.

      [3]

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

    Now consider the case where ​a>0.

    1. Determine with justification whether the lines are parallel, intersecting or skew.

      [4]

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