If a half line bar(OP) where bar(OP)=r ...

If a half line `bar(OP)` where `bar(OP)=r` makes an angle `alpha` with the positive X-axis `bar(OX)` and lies in the XZ plane, then the coordinates of P are:

`(0,r cos alpha,0)`

`(r cosalpha,0,rsinalpha)`

`(rsin alpha,0,rcosalpha)`

`(0,rsinalpha,0)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

3D-COORDINATE SYSTEM
AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
3D-COORDINATE SYSTEM
AAKASH SERIES|Exercise ADDITIONAL EXERCISE|21 Videos
3D COORDINATE SYSTEM
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|1 Videos
APPENDICES (REVISION EXERCISE)
AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

Similar Questions

Explore conceptually related problems

If a line makes anles pi//3, pi//4 with the positive x-axis and y-axis then the angle made by the line with positive z-axis is

If a line makes angles 60^(@), 60^(@) with the positive x-axis and y-axis then the angle made by the line with positive z-axis is

A straight line through P(3,4) makes an angle of 60^(@) with the positive direction of the X-axis. Find the coordinates of the points with the line whre are 5 units away from P.

If a line passing through the point P(1,1) makes an angle theta with the positive direction of x-axiss meets the coordinate axes at A and B such that AB=OP, O being the origin , then tantheta+cottheta =

If a line makes an angle of pi//4 with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is

If a makes an angle of pi//4 with the positive direction of each of x-axis and y - axis, then the angle that the line makes with the positive direction of the z-axis is

A line which makes an acute angle theta with the positive dirction of the x-axis is drown through the point P(3,4) to meet the line x=6 at R and y=8 at S. Then.

A ray makes angles pi//3, pi//3 with bar(OX) and bar(OY) respectively. Find the angle made by it with bar(OZ)

AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1

The point on x-axis with is equidistant to (2,-1-4), (-4,3,0) is
Text Solution
|
If L and M are the feet of the perpendiculars from the point (2,4,5) t...
Text Solution
|
If a half line bar(OP) where bar(OP)=r makes an angle alpha with th...
Text Solution
|
Assertion (A) : P(3,4,5), Q(-1,7,9) are two given points, length of pr...
Text Solution
|
A, B, C are projections oof P(5, -2, 6) on coordinate planes then find...
Text Solution
|
If A =(1,2,3) and B=(3,5,7) and P, Q are the points on AB such that AP...
Text Solution
|
The harmonic conjugate of (2,3,4) with respect to the points (3,-2,2),...
Text Solution
|
A =(2,3,-1), B(1,-1,2), C is a point on y-axis such that angleABC=pi//...
Text Solution
|
If (2,5,1) and (9,10,4) are ends of diagonal of a rectangular parallel...
Text Solution
|
Let A(4, 7, 8), B(2, 3, 4) and C(2,5,7) be the vertices of DeltaABC. ...
Text Solution
|
alpha, beta, gamma are the root of x^(3)-2x^(2)-x+2=0. Centroid of tr...
Text Solution
|
The distance between the origin and the centroid of the tetrahedron wh...
Text Solution
|
If the centroid of the tetrahedron is (0,-1,5/2) and three vertices ar...
Text Solution
|
The coordinates of a point equidistant from the four points (a,0,0),(0...
Text Solution
|
The circumcentre of the triangle formed by the pointgs (1,2,3), (3,-1,...
Text Solution
|
The circumradius of the triangle formed by the points (2,-1,1),(1,-3,-...
Text Solution
|
Assertion (A) : P(3,5,4), Q(6,5,7) are the vertice of a triangle whose...
Text Solution
|
The distance between the circumcentre and the orthocentre of DeltaABC ...
Text Solution
|
If the orthocentre and the circucentre of are (-3,5,2) ,(6,2,5) then i...
Text Solution
|
If H,G,S, I are respectively othercentre centroid , circumcentre and i...
Text Solution
|