Let \(a,b\) and \(c\) be the distinct non-negative numbers. If the vectors \(a\overset{^}{i}+a\overset{^}{j}+c\overset{^…

Let \(a,b\) and \(c\) be the distinct non-negative numbers. If the vectors \(a\overset{^}{i}+a\overset{^}{j}+c\overset{^}{k},\text{ }\overset{^}{i}\text{ }+\text{ }\overset{^}{k}\text{ , }c\overset{^}{i}\text{ }+\text{ }c\overset{^}{j}+b\overset{^}{k}\) lie on a plane, then which one of the following is correct?