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WAEC Further Mathematics questions: Vectors

16 questions with answers and explanations. Tap an option to check yourself.

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  1. Question 1· Vectors· WAEC

    Find the unit vector in the direction of 3i + 4j.

    Explanation and discussion

  4. Question 4· Vectors· WAEC

    Find the angle between a = i + j and b = i − j.

    Explanation and discussion

  6. Question 6· Vectors· WAEC

    The unit vector in the direction of 6i + 8j is

    Explanation and discussion

  7. Question 7· Vectors· WAEC

    Two vectors are perpendicular if their dot product is

    Explanation and discussion

  8. Question 8· Vectors· WAEC

    If a = 2i − j and b = i + 3j, then a + b is

    Explanation and discussion

  10. Question 10· Vectors· WAEC

    Find the scalar (dot) product of a = 2i + 3j and b = 4i − j.

    Explanation and discussion

  11. Question 11· Vectors· WAEC

    Given p = 2i − j and q = i + 3j, find p + 2q.

    Explanation and discussion

  12. Question 12· Vectors· WAEC

    The vectors a = 2i + kj and b = 3i − 6j are perpendicular. Find k.

    Explanation and discussion

  14. Question 14· Vectors· WAEC

    A is the point (1, 2) and B is (4, 6). Express AB as a vector.

    Explanation and discussion

  15. Question 15· Vectors· WAEC

    Points P and Q have position vectors 4i + j and 2i + 5j. Find the position vector of the midpoint of PQ.

    Explanation and discussion

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