Q.

For three vectors p,q and r, if r=3p+4q and 2r=p3q then

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a

|r|<2|q| and r,q have opposite direction

b

|r|>2|q|and r,q have same directions

c

|r|<2|q| and r,q have same direction

d

|r|>2|q| and r,q have opposite directions

answer is B.

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Detailed Solution

r=3p+4q(1)2r=p3q(2)(1)3(2)5r=13qr=135q|r|=135|q||r|>2|q|
r, q have opposite directions

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