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Manipal MET2018MathematicsVector Algebra

A parallelogram is constructed on the vectors a =3 - , b = +3 . If | |=| |=2 and the angle between and is 3 , then length of a diagonal of the parallelogram is

Options

  1. A4 3
  2. B4 5
  3. C4 7
  4. DNone of these

Correct answer

C. 4 7

Step-by-step solution

aligned & Given, a =3 - , b = +3 and & | |=| |=2 & | a + b |^2=|4 +2 |^2 & =16| |^2+4| |^2+16| || | 3 & =16(4)+4(4)+16(2 2) 1 2 & =64+16+32=112 & | a + b |=4 7 aligned

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