# A vector n of magnitude 8 units is inclined to x-axis at 45**°** , y-axis at 60**°** and at an acute angle with z-axis. If a plane passes through a point (√2,-1,1) and is normal to n, find the equation in vector form.

**°**, y-axis at 60

**°**and at an acute angle with z-axis. If a plane passes through a point (√2,-1,1) and is normal to n, find the equation in vector form.

### Asked by sunil2791 | 8th Dec, 2017, 07:00: PM

Expert Answer:

### Answered by Sneha shidid | 11th Dec, 2017, 09:17: AM

## Concept Videos

- Q 48
- If is the normal from the origin to the plane, and is the unit vector along . P(x, y, z) be any point on the plane and is perpendicular to . Find the equation of plane in the normal form.
- Let
_{}be the vector normal to the plane and_{}be the position vector of the point through which the plane passes. Then find the equation of plane. - Find the equation of the plane, which is at a distance of 5 unit from the origin and has as a normal vector.
- Find the equation of the plane whose distance from the origin is 8 units and the direction ratios of the normal are 6, – 3, – 2.
- Find the equation of the plane is . Find the perpendicular distance of the plane from the origin.
- Write the normal and Cartesian form of the plane .
- Find the equation of the plane passing through the points (–1, 4, – 3), (3, 2, – 5) and (– 3, 8, – 5).
- Find the equation of the plane passing through the point (3, – 3, 1) and perpendicular to the line joining the points (3, 4, – 1) and (2, – 1, 5).
- Find the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 2x – 3y + 6z + 7 = 0.

### Kindly Sign up for a personalised experience

- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions

#### Sign Up

#### Verify mobile number

Enter the OTP sent to your number

Change