Maths-
General
Easy
Question
The acute angle made by the line joining the points 
and 
with the 
-axis is
Hint:
We are given two points. We have to find the angle made by this line with the y-axis. We will use the direction ratios and direction cosine the find the answer.
The correct answer is:
The given points are (1, -3, 2) and (3, -5, 1)
We have to find the angle it makes with y-axis.
Let the angle made by the line with the x, y and z axis be
Direction ratios: Let’s represent direction ratios as a, b and c. If the given points are (x1, y1, z1) and (x2, y2, z2) then
a = x1 – x2
= 1 – 3
= -2
b = y1 – y2
= -3 –(-5)
= -3 + 5
= 2
c = z1 – z2
= 2 – 1
= 1
Direction cosine of angle made with y axis will be given as
This is the required answer.
We should remember the formula of direction cosines of all the angles.
Related Questions to study
maths-
If 
then the angle between 
and is
If then the angle between and is
maths-General
physics
In a gravitational field, at a point where the gravitational potential is zero
In a gravitational field, at a point where the gravitational potential is zero
physicsGeneral
physics
A spherical planet has a mass MP and diameter Dip A particle of mass falling freely near the surface of this planet will experience an acceleration due to gravity, equal to
A spherical planet has a mass MP and diameter Dip A particle of mass falling freely near the surface of this planet will experience an acceleration due to gravity, equal to
physicsGeneral
physics
The height at which the weight of a body becomes 1/16 th its weight on the surface of (radius R) is
The height at which the weight of a body becomes 1/16 th its weight on the surface of (radius R) is
physicsGeneral
Physics
The acceleration of a body due to the attraction of the earth (radius R ) at a distance 2R from the surface of the earth is (g = acceleration due to gravity at the surface of earth)
The acceleration of a body due to the attraction of the earth (radius R ) at a distance 2R from the surface of the earth is (g = acceleration due to gravity at the surface of earth)
PhysicsGeneral
Physics
Acceleration due to gravity on moon is 1/6 of the acceleration due to gravity on earth, If the ratio of densities of earth 
and moon 
is 
then radius of moon Rm in terns of Re will be,
Acceleration due to gravity on moon is 1/6 of the acceleration due to gravity on earth, If the ratio of densities of earth and moon is then radius of moon Rm in terns of Re will be,
PhysicsGeneral
physics
A research satellite of mass 200 kg. circles the earth in an orbit of average radius 3R/2 where R is radius of earth. Assuming the gravitational pall 10N, the pull on the satellite will be...N
A research satellite of mass 200 kg. circles the earth in an orbit of average radius 3R/2 where R is radius of earth. Assuming the gravitational pall 10N, the pull on the satellite will be...N
physicsGeneral
physics
If the value of ' g ' acceleration due to gravity, at earth surface fs .10ms-2 its value in ms-2 at the center of earth, which is assumed to be a sphere of Radius ' R ' meter and uniform density is
If the value of ' g ' acceleration due to gravity, at earth surface fs .10ms-2 its value in ms-2 at the center of earth, which is assumed to be a sphere of Radius ' R ' meter and uniform density is
physicsGeneral
physics
A man can jump to a height of 1.5 m on a planet Α what is the height ne may be able to jump on another planet whose density and radius are respectively one- quater and one- third that of planet A
A man can jump to a height of 1.5 m on a planet Α what is the height ne may be able to jump on another planet whose density and radius are respectively one- quater and one- third that of planet A
physicsGeneral
physics
If density of earth increased 4 times and its radius becomes half of then out weight will be...
If density of earth increased 4 times and its radius becomes half of then out weight will be...
physicsGeneral
physics
Weight of body of mass m decreases by 1% when it is raised to height h above the earth's surface. If the body is taken to a depth h in a mine. change in its weight is
Weight of body of mass m decreases by 1% when it is raised to height h above the earth's surface. If the body is taken to a depth h in a mine. change in its weight is
physicsGeneral
physics
Density of the earth is doubled keeping its radius constant then acceleration, due to gravity will. be …….ms-2 (g=9.8 ms2)
Density of the earth is doubled keeping its radius constant then acceleration, due to gravity will. be …….ms-2 (g=9.8 ms2)
physicsGeneral
physics
The acceleration due to gravity is at a point distance r from the center of earth . if . R. if r<R.then
The acceleration due to gravity is at a point distance r from the center of earth . if . R. if r<R.then
physicsGeneral
Maths-
If 
then 
The variable v is used just for simplification. When we take partial derivative w.r.t to certain variable, we keep other variables constant.
If then
Maths-General
The variable v is used just for simplification. When we take partial derivative w.r.t to certain variable, we keep other variables constant.
chemistry-
Which type of isomerism is observed between I and II
and 
Which type of isomerism is observed between I and II
and
chemistry-General
