Answer :
Given :
Equation of line :
Equation of plane :
To Find : λ
Formulae :
1) Parallel vector to the line :
If equation of the line is then,
Vector parallel to the line is given by,
2) Angle between a line and a plane :
If Ө is a angle between the line and the plane
, then
Where, is vector parallel to the line and
is the vector normal to the plane.
Answer :
For given equation of line,
Parallel vector to the line is
For given equation of plane,
normal vector to the plane is
Therefore, angle between given line and plane is
As given line is parallel too the given plane, angle between them is 0.
4 + 9 + 4 λ = 0
13 + 4λ = 0
4λ = -13
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