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shaan_iitk
 2 years ago
Best ResponseYou've already chosen the best response.3see now initially the origin in O and lets shift the origin to O'. Now imagine that O wrt O' is r'. Hence now the vector coordinates in new coordinate system would be (r1 + r'), (r2 + r'), (r3 + r1), (r4 + r'). For the equation to hold a1 * (r1 + r') + a2 *(r2 + r') + a3*(r3 + r') + a4*(r4 + r') = 0 (we need to find the condition for this to hold) the equation reduces to (a1*r' + a2*r' + a3*r' + a4*r') +( a1r1 + a2r2 + a3r3 + a4r4) sum in the second paranthesis is zero (given) . Hence for eqn to hold = r'*(a1 + a2+ a3+ a4) = 0 or a1 + a2 + a3 + a4 = 0 hence proved..

shaan_iitk
 2 years ago
Best ResponseYou've already chosen the best response.3in if and only if you have to prove both ways .. but given this proof the revers is easy as well .. hope m clear...

atjari
 2 years ago
Best ResponseYou've already chosen the best response.0Ya. I'm clear nw. Thanx a lot.
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