Answer :

Given :

Equation of line :

Equation of plane : 10x + 2y – 11z = 3

To Find : angle between line and plane

Formulae :

1) Parallel vector to the line :

If equation of the line is then,

Vector parallel to the line is given by,

2) Normal vector to the plane :

If equation of the plane is ax + by + cz = d then,

Vector normal to the plane is given by,

3) 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,

10x + 2y – 11z = 3

normal vector to the plane is

Therefore, angle between given line and plane is

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

If lines <span laMathematics - Board Papers

Find the coordinaMathematics - Board Papers

State True or FalMathematics - Exemplar

The sine of the aMathematics - Exemplar

The plane 2x – 3yMathematics - Exemplar

Mark against the RS Aggarwal - Mathematics

Mark against the RS Aggarwal - Mathematics