Question

The simple sum of two co- ­initial vectors is 16 units. Their vectors sum is 8 units. The resultant of the vectors is perpendicular to the smaller vector. The magnitudes of the two vectors are: 

1. 2 units and 14 units
2. 4 units and 12 units 
3. 6 units and 10 units 
4. 8 units and 8 units

Answer 1

Correct Answer 3. 6 units and 10 units 

Explanation :

Co­initial vectors are those, which start with same point.

Given A + B = 16 … (i) 

vector A + vector B = 8

Since, resultant is perpendicular to smaller vector