waec model questions vol1 2023 mathematics
Objective • Question 2
Question 2
WAEC_MODEL_QUESTIONS_VOL1
•
2023
In a plane, vectors \(\mathbf{a}\) and \(\mathbf{b}\) have magnitudes \(|\mathbf{a}| = 5\) and \(|\mathbf{b}| = 8\). The resultant vector \(\mathbf{a}+\mathbf{b}\) makes an angle of \(30^{\circ}\) with \(\mathbf{a}\). Find the exact value of the dot product \(\mathbf{a}\cdot\mathbf{b}\).
Answer Options
A.
40/3
Correct Answer
B.
80/3
C.
100/3
D.
80/5
Correct Answer
B
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