Question

Two vectors, of magnitudes 20 mm and 50 mm, are added together. Which one of the following is a possible value for the magnitude of the resultant?a. 10 mm
b. 20 mm
c. 40 mm
d. 80 mm

Answer 1

Option C is the correct answer.

Explanation:

The magnitudes of two vectors are 20 mm and 50 mm.

Maximum magnitude will be getting when they are acting in the same direction,

   Maximum magnitude = 20 + 50 = 70 mm

Minimum magnitude will be getting when they are acting in the opposite direction,

   Minimum magnitude = 50 - 20 = 30 mm

So the resultant of these two vectors lies in between 70 mm and 30 mm.

Only option C 40 mm satisfies this.

Option C is the correct answer.