Resultant of two vectors P and Q is of magnitude R ₁ . If direction of Q is reversed, the resultant is of magnitude R ₂ . The value of ( R ₁²+ R ₂² ) is [ ( - )=- ]

Step-by-step solution

Given, P+Q=R After reversing direction of R , we gel array l -R=-P-Q S=-P-Q array So let angle between P and Q be Q So resultants. array l R²=P²+Q²+2 P Q S²=P²+Q²-2 P Q -(1) (2) array Adthing equation (1) and (2) R²+S²=2 (P²+Q² ) So, the correct answer is R²+s²=2 (p²+Q² )