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+1 vote
1.7k views
in Physics by (2.8k points)

The value of ((A) + (B)) ×  ((A) - (B)) is 

A. 0

B. A2-B2

C. (B)×(A)

D. 2((B)×(A))

by (2.8k points)
In the Q. and the last 2 options A and B represent vectors not magnitude

1 Answer

+1 vote
by (2.1k points)
selected by
 
Best answer

(A+B)×(A-B)

=(A+B)×A-(A×B)×B

=(A×A)+(B×A)-(A×B)-(B×B)

BCZ[A×(B−C)=A×B−A×C]

=(B×A)+(B×A)[BCZ A×A=0,A×B=-(B×A)]

=2(B×A)

ANSWER

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