Question

In a triangle ABC three forces of magnitudes `3vec(AB), 2vec(AC)` and `6vec(CB)` are acting along the sides AB, AC and CB respectively. If the resultant meets AC at D, then the ratio DC : AD will be equal to :

Options

• 1 : 1

• 1 : 2

• 1 : 3

• 1 : 4

Answer 1

1 : 2

Explanation:

Three forces `3vec(AB), 2vec(AC)` and `6vec(CB)` acts along the sides of the triangle AB, AC and CB.

Hence, `(DC)/(AD) = 1/2`