Home
Class 12
MATHS
A vector vec n f magnitude 8 units is i...

A vector ` vec n` f magnitude 8 units is inclined to x-axis at `45^0` , y-axis at `60^0` and an acute angle with z-axis. If a plane passes through a point `(sqrt(2),-1,1)` and is normal to ` vec n` , find its equation in vector form.

Text Solution

Verified by Experts

The correct Answer is:
`r*(sqrt(2)hat(i)+hat(j)+hat(k))=2`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find a vector veca of magnitude 5sqrt2 making an angle pi/4 with x-axis, pi/2 with y-axis and at angle 'theta' with z-axis.

Find the equation of plane passing through the point (1,4,-2) and parallel to the plane 2x-y+3z=0

Find the vector and cartesian equations of the plane that passes through the point (1, 0, – 2) and the normal to the plane is hati+hatj-hatk

Find the vector equation of plane that passes through the point (1,0,-2) and the normal to the plane is hat(i)+hat(j)-hat(k) .

Find the vector and cartesian equations of the plane that passes through the point (1,4, 6) and the normal vector to the plane is hati-2hatj+hatk

Find the equation of plane passing through the points (-1,-1,3),(1,-2,7) and is perpendicular to the plane x+2y+z-9=0.

Find the equation of the line passing through the point (3,0,1) and parallel to the planes x+2y=0 and 3y-z=0.

Find the equation of a st. line, which passes through the point (-2,3) and makes an angle of 60^@ with the positive direction of x-axis.

Find the equation of the line perpendicular to the x-axis and : passing through the point (- 3, 1/2) .

Find the vector equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0.