a,b,c three distinct real number,none equal to one. If the vector ai+j+k,i+bj+k,i+j+ck are coplanar.

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Let \(a, b, c\) be three distinct real numbers, none equal to one. If the vectors \(a \hat{i}+\h....

[IIT 1987] Find the value of 1/(1-a) + 1/(1-b) + 1/(1-c) where ai+j+k, i+bj+k, i+j+ck are coplanar.

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If a, b and c be three distinct real number in G.P. and `a + b + c = xb`, then x cannot be