Let a, b and c be distinct positive numbers. If the vectors \(a\overset{^}{i}+a\overset{^}{j}+c\overset{^}{k},\overset{^}{i}+\overset{^}{k}\) and \(c\overset{^}{i}+c\overset{^}{j}+b\overset{^}{k}\) are coplanar, then c is equal to:

[JEE Main 2021, 25 Jul (Shift 2)]

Question

Let a, b and c be distinct positive numbers. If the vectors \(a\overset{^}{i}+a\overset{^}{j}+c\overset{^}{k},\overset{^}{i}+\overset{^}{k}\) and \(c\overset{^}{i}+c\overset{^}{j}+b\overset{^}{k}\) are coplanar, then c is equal to:

[JEE Main 2021, 25 Jul (Shift 2)]

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Let a, b and c be distinct positive numbers. If the vectors \(a\overset{^}{i}+a\overset{^}{j}+c\overset{^}{k},\overset{^…

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