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Grade: 11
        
the resultant of two vectors P and Q is R. if Q is doubled, the new resultant is perpendicular to P. Then R equals
(a) P
(b) (P+Q)
( c) Q
(d) (P-Q)
 please explain how to solve
4 years ago

Answers : (2)

Saurabh Kumar
askIITians Faculty
2411 Points
							245-136_HGHG.PNG
						
4 years ago
Surya singh
36 Points
							
For first scene when resultant of P and Q is R
Vector R=Vector P +Vector Q
R=P2 +Q2+2PQCos\Theta….................equation 1
Then after doubling the magnitude of Q the new resultant is perpendicular to P..That means dot product of P and new resultant(R’) will be zero.
R’ * P=0...................equation 2
(where R’=P+2Q)
by putting value to equation 2
we get Cos\Theta = -P/2Q............equation 3
So from equation 1 and 3,we get 
R=Q
 
one year ago
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