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KCET2014MathematicsDifferential Equations

If ( a ) and ( b ) are two unit vectors inclined at an angle ( 3 ), then the value of ( | a + b | ) is

Options

  1. Agreater than ( 1 )
  2. Bless than ( 1 )
  3. Cequal to ( 1 )
  4. Dequal to ( 0 )

Correct answer

A. greater than ( 1 )

Step-by-step solution

Given that ( | a |=| b |=1 ) ( array l and = 3 | a + b |²=| a |²+| b |²+2(| a | | b | ) =1+1+2 1 1 3 =1+1+2 1 2 =3 So | a + b |>1 array )

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