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Q.

If  p =3 a 5 b , q =2 a + b , r = a +4 b , s = a + b   are four nonzero vectors such that sin p , q   =1  andsin r , s =1thencos a , b is  


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a

19 5 43  

b

0

c

1

d

19 5 43    

answer is D.

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pq and rs pq=0 rs=0 

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If  p → =3 a → −5 b → ,      q → =2 a → + b → , ​​​   ​​ r → =  a → +4 b → ,      s →  =− a → + b →   are four nonzero vectors such that sin p →  ,  q →     =1  and   sin r →  ,  s → =1  then   cos a →  ,  b →   is