KCET2013MathematicsVector Algebra
If a b and ( a + b ) ( a +m b ) , then m is equal to
Options
- A-1
- B1
- C-|a|² |b|²
- D0
Correct answer
C. -|a|² |b|²
Step-by-step solution
If a and b are perpendicular to each other. array ll Then, & a b=0 & (a+b) (a+m b) & (a+b) (a+m b)=0 & a a+m b b+b a+m a b=0 & |a|²+m|b|²+0+m 0=0 & m=- |a|² |b|² array