JAMB and WAEC Further Mathematics questions

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

1. Question 261· Vectors· WAEC

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

   • A5
   • B11
   • C8i − 3j
   • D−5

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   Explanation and discussion

2. Question 262· Vectors· WAEC

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

   • A5i + 5j
   • B3i + 2j
   • C4i + 7j
   • D4i + 5j

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   Explanation and discussion

3. Question 263· Vectors· WAEC

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

   • A−1
   • B1
   • C4
   • D−4

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4. Question 264· Vectors· WAEC

   Find λ if λ(2i − j) = 6i − 3j.

   • A3
   • B2
   • C−3
   • D6

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5. Question 265· Vectors· WAEC

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

   • A4i + 3j
   • B5i + 8j
   • C−3i − 4j
   • D3i + 4j

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6. Question 266· Vectors· WAEC

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

   • A2i − 4j
   • B6i + 6j
   • Ci − 2j
   • D3i + 3j

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7. Question 267· Vectors· WAEC

   The dot product of (2i + 3j) and (4i − j) is

   • A5
   • B11
   • C8
   • D−3

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   Explanation and discussion