3.15 Relationships between lines

3.15 Relationships between lines Quiz

IB Maths: Analysis and Approaches HL: Quiz

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5 questions, one answer each

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  1. 1. Lines have directions (1,−2,4)(1,-2,4) and (−3,6,−12)(-3,6,-12) and share no point. They are:

    • A. skew
    • B. parallel
    • C. coincident
    • D. intersecting

  2. 2. Two non-parallel lines in 3D give inconsistent equations when equated. They are:

    • A. parallel
    • B. coincident
    • C. skew
    • D. perpendicular

  3. 3. Where do r=(0,0)+s(1,2)\mathbf{r}=(0,0)+s(1,2) and r=(3,0)+t(−1,1)\mathbf{r}=(3,0)+t(-1,1) meet?

    • A. (1,2)(1,2)
    • B. (2,1)(2,1)
    • C. (3,0)(3,0)
    • D. (2,4)(2,4)

  4. 4. Which relationship is impossible for two lines in a plane?

    • A. coincident
    • B. parallel
    • C. intersecting
    • D. skew

  5. 5. Two ships' paths cross at point XX. Ship 1 reaches XX at t=3t=3 and ship 2 at t=3t=3. Which is true?

    • A. They collide at XX.
    • B. They do not collide.
    • C. Their paths are skew.
    • D. Their paths are parallel.

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