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Grade 11General Physics

Show that for two vectors A and B,|A + B|=|A – B| is always true if:
a) |A| = 0 OR |B| = 0
b) theta = 90 degree

Profile image of Vidit
10 Years agoGrade 11
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1 Answer

Profile image of Nitin
10 Years ago
Assuming Either |A|or|B| = 0 ,
 
Equation will become i |A|=|A| when |B|=0
                                   ii |B|=|-B| when |A|=0 Which is true 
 
Now, Lets expand the eqn we get   **(I am writing |A|=A) theeta=x
2+B2A+2ABcosx=2+B2A -2ABcosx
\Rightarrowx=90 degress or pi/2 radians
 
METHOD II
By observation.