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Questions  

If  A×B=C+D, then select the correct alternative.

a
B→ is  parallel  to  C→ +D→
b
A→  is  perpendicular  to  C→
c
Component of C←  along   A→  =  component  of  D→ along A→
d
C←  along   A→  =  −component  of  D→ along A→

detailed solution

Correct option is D

According to definition of cross - product C→+D→ is perpendicular to both A→ and  B→.i.e., A→.C→ +D→ = 0or  A→.C→+A→.D→ = 0or  (component of C→  along  A→) +component  of  D→ along A→ = 0or component of C→  along  A→)  = −component  of  D→ along A→

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