Q. 24

# Find the value of

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.

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  Rate this question :

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