Maths-
General
Easy
Question
The set of values of m for which the vectors
are coplanar is
- R
- R-
The correct answer is: R
Related Questions to study
Maths-
If a vector
of magnitude 50 is collinear with vector
and makes an acute angle with positive z-axis then
If a vector
of magnitude 50 is collinear with vector
and makes an acute angle with positive z-axis then
Maths-General
Maths-
Three non zero non-collinear vectors
are such that
is collinear with
while
is collinear with
. Then ![Error converting from MathML to accessible text.](data:image/png;base64,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)
Three non zero non-collinear vectors
are such that
is collinear with
while
is collinear with
. Then ![Error converting from MathML to accessible text.](data:image/png;base64,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)
Maths-General
Maths-
P is the point of intersection of the diagonals of the parallelogram ABCD. If S is any point in the space and
then
=
P is the point of intersection of the diagonals of the parallelogram ABCD. If S is any point in the space and
then
=
Maths-General
Maths-
Two sides of a parallelogram are given by 2i+4j-2k and i+2j then lengths of diagonals are
Two sides of a parallelogram are given by 2i+4j-2k and i+2j then lengths of diagonals are
Maths-General
Maths-
Equation to a line parallel to the vector 2i-j+k and passing through the point i+j+k
Equation to a line parallel to the vector 2i-j+k and passing through the point i+j+k
Maths-General
Physics-
A particle parallel to x-axis as shown in the figure such that at all instant the y-axis component of it's position vector is constant and is equal to 'b'. The angular velocity of the particle about the origin is
![](data:image/png;base64,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)
A particle parallel to x-axis as shown in the figure such that at all instant the y-axis component of it's position vector is constant and is equal to 'b'. The angular velocity of the particle about the origin is
![](data:image/png;base64,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)
Physics-General
Physics-
A container is filled with water at 4°C. At one time the temperature is increased by few degrees above 4°C and at another time it is decreased by few degrees below 4°C. One shall observe that:
A container is filled with water at 4°C. At one time the temperature is increased by few degrees above 4°C and at another time it is decreased by few degrees below 4°C. One shall observe that:
Physics-General
Physics-
A block of mass 'm' is released from rest at point A. The compression in spring, when the speed of block is maximum
![](data:image/png;base64,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)
A block of mass 'm' is released from rest at point A. The compression in spring, when the speed of block is maximum
![](data:image/png;base64,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)
Physics-General
Physics-
A block of mass m sliding down an incline at constant speed is initially at a height h above the ground, as shown in the figure above. The coefficient of kinetic If the mass continues to slidemfriction between the mass and the incline is down the incline at a constant speed, how much energy is dissipated by friction by the time the mass reaches the bottom of the incline?
![](data:image/png;base64,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)
A block of mass m sliding down an incline at constant speed is initially at a height h above the ground, as shown in the figure above. The coefficient of kinetic If the mass continues to slidemfriction between the mass and the incline is down the incline at a constant speed, how much energy is dissipated by friction by the time the mass reaches the bottom of the incline?
![](data:image/png;base64,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)
Physics-General
Physics-
Two particles starts moving on the same circle of radius 2 m, from the same point P at t = 0, with constant tangential accelerations = 2 m/s2 and 6 m/s2 , clockwise and anticlockwise, respectively. The point where they meet for the first time is Q. The smaller angle subtended by PQ at center of circle is
Two particles starts moving on the same circle of radius 2 m, from the same point P at t = 0, with constant tangential accelerations = 2 m/s2 and 6 m/s2 , clockwise and anticlockwise, respectively. The point where they meet for the first time is Q. The smaller angle subtended by PQ at center of circle is
Physics-General
Physics-
A block of mass m is sitting on a rotating frictionless wedge. The
around the axis shown in figure. rotates with constant angular velocity
![](data:image/png;base64,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)
A block of mass m is sitting on a rotating frictionless wedge. The
around the axis shown in figure. rotates with constant angular velocity
![](data:image/png;base64,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)
Physics-General
Physics-
An object moves counter-clockwise along the circular path shown below. As it moves along the path its acceleration vector continuously points towards point S. The object
![](data:image/png;base64,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)
An object moves counter-clockwise along the circular path shown below. As it moves along the path its acceleration vector continuously points towards point S. The object
![](data:image/png;base64,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)
Physics-General
Physics-
For the two blocks initially at rest under constant ext. forces of mass1 kg and 2kg shown,
.Which of the following is correct
![](data:image/png;base64,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)
For the two blocks initially at rest under constant ext. forces of mass1 kg and 2kg shown,
.Which of the following is correct
![](data:image/png;base64,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)
Physics-General
Physics-
The rear side of a truck is open and a box of mass 20kg is placed on the truck 4 meters away from the m = 0.15 and g = 10m/sec2open end . The truck starts from rest with an acceleration of 2m/sec2 on a straight road. The box will fall off the truck when truck is at a distance from the starting point equal to:
The rear side of a truck is open and a box of mass 20kg is placed on the truck 4 meters away from the m = 0.15 and g = 10m/sec2open end . The truck starts from rest with an acceleration of 2m/sec2 on a straight road. The box will fall off the truck when truck is at a distance from the starting point equal to:
Physics-General
Physics-
Two containers of sand S and H are arranged like the blocks figure I. The containers alone have negligible mass; the sand in them has a total mass Mtot; the sand in the hanging container H has mass m. You are to measure the magnitude a of the acceleration of the system in a series of experiments where m varies from experiment to experiment but M tot does not; that is, you will shift sand between the containers before each trial.
is taken on the horizontal axis for all the plots.
![](data:image/png;base64,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)
The curve which gives tension in the connecting string (taken on y-axis) as a function of ratio
æ M tot m is:
Two containers of sand S and H are arranged like the blocks figure I. The containers alone have negligible mass; the sand in them has a total mass Mtot; the sand in the hanging container H has mass m. You are to measure the magnitude a of the acceleration of the system in a series of experiments where m varies from experiment to experiment but M tot does not; that is, you will shift sand between the containers before each trial.
is taken on the horizontal axis for all the plots.
![](data:image/png;base64,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)
The curve which gives tension in the connecting string (taken on y-axis) as a function of ratio
æ M tot m is:
Physics-General