3.14 Vector equation of a line

3.14 Vector equation of a line Quiz

IB Maths: Analysis and Approaches HL: Quiz

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5 questions, one answer each

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  1. 1. Which point is on r=(2,−1,0)+λ(1,3,−2)\mathbf{r}=(2,-1,0)+\lambda(1,3,-2)?

    • A. (4,5,−4)(4,5,-4)
    • B. (3,2,2)(3,2,2)
    • C. (1,3,−2)(1,3,-2)
    • D. (0,−7,−4)(0,-7,-4)

  2. 2. Find a direction vector of x−32=y+1−5=z4\frac{x-3}{2}=\frac{y+1}{-5}=\frac{z}{4}.

    • A. (3,−1,0)(3,-1,0)
    • B. (2,−5,4)(2,-5,4)
    • C. (−3,1,0)(-3,1,0)
    • D. (2,5,4)(2,5,4)

  3. 3. Find the acute angle between lines with directions (1,0,0)(1,0,0) and (1,1,0)(1,1,0).

    • A. 30∘30^\circ
    • B. 45∘45^\circ
    • C. 60∘60^\circ
    • D. 90∘90^\circ

  4. 4. A particle has position r=(4,1,−2)+t(2,−2,1)\mathbf{r}=(4,1,-2)+t(2,-2,1) m, tt in seconds. Find its speed.

    • A. 11 m s−1^{-1}
    • B. 99 m s−1^{-1}
    • C. 33 m s−1^{-1}
    • D. 21\sqrt{21} m s−1^{-1}

  5. 5. Which is a vector equation of the line y=2x+1y=2x+1?

    • A. r=(0,1)+λ(1,2)\mathbf{r}=(0,1)+\lambda(1,2)
    • B. r=(1,0)+λ(1,2)\mathbf{r}=(1,0)+\lambda(1,2)
    • C. r=(0,1)+λ(2,1)\mathbf{r}=(0,1)+\lambda(2,1)
    • D. r=(1,2)+λ(0,1)\mathbf{r}=(1,2)+\lambda(0,1)

Quiz