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Bipin Dubey (13679)

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Let  = arP-1 = arQ-1  = arR-1

cos = (Q-R)log3 + (R-P)log3 + (P-Q)log3

= 3[(Q-R)log + (R-P)log + (P-Q)log]

= 3[(Q-R)logarP-1 + (R-P)logarQ-1 + (P-Q)logarR-1]

= 3(Q-R+R-P+P-Q)loga + 3[(P-1)(Q-R)+(Q-1)(R-P)+(R-1)(P-Q)]logr

= 0

Hence the angle between the vectors is 900.


Bipin Kumar Dubey Chemical Dept. IIT Kharagpur
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