Question
Find the vector equation of the following planes in scalar product form:
Solution
The equation of plane is 
or
Equating the coefficients of
we get,
x = 2 + λ + μ ... (1)
y = 2 μ ...(2)
z = – 1– μ ...(3)
From (2),
Putting this value of μ in (3), we get,
This can be written as
or
which is the required equation.
or
Equating the coefficients of
we get,x = 2 + λ + μ ... (1)
y = 2 μ ...(2)
z = – 1– μ ...(3)
From (2),
Putting this value of μ in (3), we get,
This can be written as
or
which is the required equation.
