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Let the vectors P Q , Q R , R S , S T , T U and UP represent the sides of a regular hexagon. Statement I PQ ( R S + S T ) 0 Statement II P Q R S = 0 and P Q S Q 0

Options

  1. AStatement I is true, Statement II is true; Statement II is a correct explanation for Statement I
  2. BStatement I is true, Statement II is true; Statement II is not a correct explanation for Statement I
  3. CStatement I is true, Statement II is false
  4. DStatement I is false, Statement II is true

Correct answer

C. Statement I is true, Statement II is false

Step-by-step solution

Since, P Q is not parallel to T R TR is resultant of S R and S T vectors. P Q ( R S + S T ) 0 But for Statement II, we have P Q R S = 0 which is not possible as P Q not parallel to R S . Hence, Statement I is true and Statement II is false.

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