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Let P1 denote the equation of a plane to...

Let `P_1` denote the equation of a plane to which the vector `( hat i+ hat j)` is normal and which contains the line whose equation is ` vec r= hat i+ hat j+ hat k+lambda( hat i- hat j- hat k)a n dP_2` denote the equation of the plane containing the line `L` and a point with position vector ` hat jdot` Which of the following holds good?
`a`. The equation of `P_1` is `x+y=2`.
`b`. The equation of `P_2` is `vec(r)* (i-2j+k) = 2`
`c`. The acute angle between `P_1` and `P_2` is `cot^(-1) sqrt(3)`

`d`. The angle between plane `P_2` and the line L is ` tan^(-1) sqrt(3`

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