If the equation of the plane containing the line x + 2y + 3z – 4 = 0 = 2x + y – z + 5 and perpendicular to the plane \(\vec{r}=\left(\overset{^}{i}−\overset{^}{j}\right)+\lambda \left(\overset{^}{i}+\overset{^}{j}+\overset{^}{k}\right)+\mu \left(\overset{^}{i}−2\overset{^}{j}+3\overset{^}{k}\right)\) is ax + by + cz = 4, then (a – b + c) is equal to

[JEE Main 2023, 08 Apr (Shift 1)]

Question

If the equation of the plane containing the line x + 2y + 3z – 4 = 0 = 2x + y – z + 5 and perpendicular to the plane \(\vec{r}=\left(\overset{^}{i}−\overset{^}{j}\right)+\lambda \left(\overset{^}{i}+\overset{^}{j}+\overset{^}{k}\right)+\mu \left(\overset{^}{i}−2\overset{^}{j}+3\overset{^}{k}\right)\) is ax + by + cz = 4, then (a – b + c) is equal to

[JEE Main 2023, 08 Apr (Shift 1)]

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If the equation of the plane containing the line x + 2y + 3z – 4 = 0 = 2x + y – z + 5 and perpendicular to the plane \(\…

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