If A→ ×B→ = C→ +D→ , then select the correct alternative.
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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→
answer is D.
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Detailed Solution
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→