passwella.
Menu

WAEC Further Mathematics 2012 Question 23

Question 23

Vectors

two forces 10N and 6N act in the directions 060° and 330° respectively. Find the x-component of their resultant.

  1. A.5√3 − 3
  2. B.3 − 5√3
  3. C.5 − 3√3
  4. D.3√3 − 5
Show the answer and explanation

Answer: A (5√3 − 3)

Explanation

x-components from bearings: 10 sin 60° = 5√3 and 6 sin 330° = −3. Their sum is 5√3 − 3.