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JEE Advanced2013MathematicsVector AlgebraActual

Match List-I with List - II and select the correct answer using the code given below the lists List-I List-II A. Volume of parallelepiped determined by vectors a → , b → and c → is 2 . Then the volume of the parallelepiped determined by vectors 2 a → × b → , 3 b → × c → and c → × a → is P. 100 B. Volume of parallel piped determined by vectors a &#85

Options

  1. Aa-s;b-q;c-r;d-p;
  2. Ba-r;b-p;c-s;d-q;
  3. Ca-r;b-s;c-q;d-p;
  4. Da-r;b-s;c-p;d-q;

Correct answer

D. a-r;b-s;c-p;d-q;

Step-by-step solution

(A) Given, a → b → c → = 2           . . . 1 The volume of the parallelepiped determined by vectors 2 a → × b → , 3 b → × c → , c → × a → is the scalar tripple product of given three vectors is ⇒ V = 2 a → × b → 3 b → × c → c → × a →             . . . 2 ⇒ V = 6   a → × b → b → × c → c →

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