Vectors in three dimensions

Vectors in three dimensions Quiz

Spec 10.1 · Edexcel A-Level Maths: Quiz

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5 questions, one answer each

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  1. 1. Find ∣2i−3j+6k∣|2\mathbf{i}-3\mathbf{j}+6\mathbf{k}|.

    • A. 55
    • B. 77
    • C. 1111
    • D. 4949

  2. 2. Find the distance between (1,2,3)(1,2,3) and (4,6,15)(4,6,15).

    • A. 1919
    • B. 19\sqrt{19}
    • C. 55
    • D. 1313

  3. 3. A(1,0,2)A(1,0,2) and B(3,−1,5)B(3,-1,5). Find AB→\overrightarrow{AB}.

    • A. 2i−j+3k2\mathbf{i}-\mathbf{j}+3\mathbf{k}
    • B. −2i+j−3k-2\mathbf{i}+\mathbf{j}-3\mathbf{k}
    • C. 4i−j+7k4\mathbf{i}-\mathbf{j}+7\mathbf{k}
    • D. 2i+j+3k2\mathbf{i}+\mathbf{j}+3\mathbf{k}

  4. 4. Find the midpoint of (2,4,−6)(2,4,-6) and (4,−2,8)(4,-2,8).

    • A. (6,2,2)(6,2,2)
    • B. (1,3,7)(1,3,7)
    • C. (3,1,1)(3,1,1)
    • D. (2,−6,14)(2,-6,14)

  5. 5. a=2i+3j−k\mathbf{a}=2\mathbf{i}+3\mathbf{j}-\mathbf{k} and b=i−j+k\mathbf{b}=\mathbf{i}-\mathbf{j}+\mathbf{k}. Find 2a−b2\mathbf{a}-\mathbf{b}.

    • A. 5i+5j−k5\mathbf{i}+5\mathbf{j}-\mathbf{k}
    • B. 3i+7j−3k3\mathbf{i}+7\mathbf{j}-3\mathbf{k}
    • C. 3i+5j−3k3\mathbf{i}+5\mathbf{j}-3\mathbf{k}
    • D. 3i+7j−k3\mathbf{i}+7\mathbf{j}-\mathbf{k}

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