Vectors and resultants

Vectors and resultants Quiz

Spec 2.1 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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  1. 1. Find the resultant of (2i−5j)(2\mathbf{i}-5\mathbf{j}) N and (−6i+3j)(-6\mathbf{i}+3\mathbf{j}) N.

    • A. (8i−8j)(8\mathbf{i}-8\mathbf{j}) N
    • B. (−4i−8j)(-4\mathbf{i}-8\mathbf{j}) N
    • C. (−4i−2j)(-4\mathbf{i}-2\mathbf{j}) N
    • D. (4i+2j)(4\mathbf{i}+2\mathbf{j}) N

  2. 2. Find the magnitude of (8i−6j)(8\mathbf{i}-6\mathbf{j}) N.

    • A. 2 N
    • B. 10 N
    • C. 14 N
    • D. 100 N

  3. 3. A force of 10 N acts at 30∘30^\circ to i\mathbf{i}. What is its component along j\mathbf{j}?

    • A. 5 N
    • B. 8.66 N
    • C. 10 N
    • D. 3 N

  4. 4. The forces (ai+4j)(a\mathbf{i}+4\mathbf{j}) N and (6i−9j)(6\mathbf{i}-9\mathbf{j}) N are in equilibrium with (−2i+bj)(-2\mathbf{i}+b\mathbf{j}) N. Find aa and bb.

    • A. a=4a=4, b=−5b=-5
    • B. a=−4a=-4, b=−5b=-5
    • C. a=8a=8, b=5b=5
    • D. a=−4a=-4, b=5b=5

  5. 5. A resultant of (−3i+3j)(-3\mathbf{i}+3\mathbf{j}) N points:

    • A. 45° above i
    • B. 45° below i
    • C. 45° above the direction of −i
    • D. 45° below the direction of −i

Quiz