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The resultant of two vectors P and Q is R. If Q is double then new resultant is perpendicular to p vector. Find out the angle of new resultant vector with the doubled vector or 2q.

The resultant of two vectors P and Q is R. If Q is double then new resultant is perpendicular to p vector. Find out the angle of new resultant vector with the doubled vector or 2q.

Grade:11

1 Answers

ric
29 Points
3 years ago
it is given that R= vector P + vector Q
let new resultat be R’ 
so when Q is doubled then R perpendicular P.
solution: vector P + vector Q = Vector R
as R’ is perpendicular to  P
there dot product wil be zero
(vector P) . (vector 2Q)= 0
so cos theta= vector P+vector2Q/2Q
  theta = cos-1P+ 2Q/2Q
 

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