Vector product

Vector product Quiz

Spec F5 · AQA A-Level Further Maths: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

  1. 1. Find (2,1,0)×(0,1,3)(2,1,0)\times(0,1,3).

    • A. (−3,6,−2)(-3,6,-2)
    • B. (3,−6,2)(3,-6,2)
    • C. (3,6,2)(3,6,2)
    • D. (0,1,0)(0,1,0)

  2. 2. If a×b=0\mathbf a\times\mathbf b=\mathbf 0 with a,b\mathbf a,\mathbf b non-zero, what can you conclude?

    • A. a\mathbf a and b\mathbf b are perpendicular
    • B. ∣a∣=∣b∣|\mathbf a|=|\mathbf b|
    • C. a⋅b=0\mathbf a\cdot\mathbf b=0
    • D. a\mathbf a and b\mathbf b are parallel

  3. 3. Triangle sides a=(1,0,0)\mathbf a=(1,0,0) and b=(0,2,0)\mathbf b=(0,2,0) from a common vertex. Find its area.

    • A. 11
    • B. 22
    • C. 12\frac12
    • D. 44

  4. 4. Find i×k\mathbf i\times\mathbf k.

    • A. j\mathbf j
    • B. 0\mathbf 0
    • C. −j-\mathbf j
    • D. k\mathbf k

  5. 5. Which point lies on the line (r−(1,0,2))×(0,1,0)=0(\mathbf r-(1,0,2))\times(0,1,0)=\mathbf 0?

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

Quiz