Vector product and scalar triple product

Vector product and scalar triple product Quiz

Spec 5.1–2 · Edexcel A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. What is i×j\mathbf{i}\times\mathbf{j}?

    • A. k\mathbf{k}
    • B. −k-\mathbf{k}
    • C. 0\mathbf{0}
    • D. 11

  2. 2. Find 2i×3j2\mathbf{i}\times3\mathbf{j}.

    • A. 5k5\mathbf{k}
    • B. −6k-6\mathbf{k}
    • C. 6k6\mathbf{k}
    • D. 66

  3. 3. For two sides a\mathbf{a} and b\mathbf{b} of a triangle, ∣a×b∣=12|\mathbf{a}\times\mathbf{b}|=12. What is the area of the triangle?

    • A. 1212
    • B. 2424
    • C. 144144
    • D. 66

  4. 4. a⋅(b×c)=−18\mathbf{a}\cdot(\mathbf{b}\times\mathbf{c})=-18. What is the volume of the tetrahedron with edges a\mathbf{a}, b\mathbf{b}, c\mathbf{c}?

    • A. −3-3
    • B. 33
    • C. 1818
    • D. 108108

  5. 5. Which expression equals a⋅(b×c)\mathbf{a}\cdot(\mathbf{b}\times\mathbf{c})?

    • A. a⋅(c×b)\mathbf{a}\cdot(\mathbf{c}\times\mathbf{b})
    • B. (b×a)⋅c(\mathbf{b}\times\mathbf{a})\cdot\mathbf{c}
    • C. b⋅(c×a)\mathbf{b}\cdot(\mathbf{c}\times\mathbf{a})
    • D. c⋅(b×a)\mathbf{c}\cdot(\mathbf{b}\times\mathbf{a})

Quiz