JEE Main2014MathematicsVector AlgebraActual
If a → = 2 , b → = 3 and 2 a → - b → = 5 , then 2 a → + b → equals :
Options
- A5
- B7
- C17
- D1
Correct answer
A. 5
Step-by-step solution
a → = 2 ,    b → = 3 ,    2 a → - b → = 5 2   a → - b → 2 = 2   a → - b → · 2   a → - b → = 4 a → 2 - 4 a → · b → + b → 2             . . . i 2 a → + b → 2 = 4 a → 2 + 4 a → · b → + b → 2         . . . ii Adding equation (i) and equation (ii), we get 2   a → + b → 2 + 2   a