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If the vectors vec a, vec b, vec c are n...

If the vectors `vec a, vec b, vec c` are non-coplanar and l,m,n are distinct real numbers, then [(`l vec a + m vec b + n vec c) (l vec b + m vec c + n vec a) (l vec c + m vec a + n vec b`)] = 0, implies (A) `lm+mn+nl = 0` (B) `l+m+n = 0` (C) `l^2 + m^2 + n^2 = 0`

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