If two vectors \(\vec{P}=\overset{^}{i}+2m\overset{^}{j}+m\overset{^}{k}\) and \(\vec{Q}=4\overset{^}{i}-2\overset{^}{j}…

If two vectors \(\vec{P}=\overset{^}{i}+2m\overset{^}{j}+m\overset{^}{k}\) and \(\vec{Q}=4\overset{^}{i}-2\overset{^}{j}+m\overset{^}{k}\) are perpendicular to each other. Then, the value of m will be:

[JEE Main 2023, 24 Jan (Shift 2)]