The usual way to do this is to express each vector as the sum of two or three perpendicular vectors (two in a plane, three in 3D space). Then you can add the components of the two vectors, to get the new vector.For the case of two dimensions, on most scientific calculators there is a neat feature called rectangular-to-polar and polar-to-rectangular conversion, which can quickly convert a vector from polar (i.e., magnitude and angle) to rectangular (i.e., x-coordinate and y-coordinate), or vice versa.
You chain the two vectors so that the nose of the first is the tail of the second. Then the resultant vector is equivalent to the one from the tail of the first to the nose of the second - both in magnitude and direction.
they have the certain directions and magnitude
It is a magnitude that has a size and a direction. You can also express it as having components in different directions; for example, in the x-direction and in the y-direction.
Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.
=== === Since momentum is a vector and not a scalar quantity, to have the same momentum, they must have the same direction. Remember, vectors have magnitude and direction. Speed is the magnitude part of velocity. Since momentum is the product of mass (a scalar) and velocity (a vector) if two objects are moving in different directions, even if they have the same mass and speed, their momentums are different.
When two vectors with different magnitudes and opposite directions are added :-- The magnitude of the sum is the difference in the magnitudes of the two vectors.-- The direction of the sum is the direction of the larger of the two vectors.
You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.
they have the certain directions and magnitude
It is a magnitude that has a size and a direction. You can also express it as having components in different directions; for example, in the x-direction and in the y-direction.
Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.
=== === Since momentum is a vector and not a scalar quantity, to have the same momentum, they must have the same direction. Remember, vectors have magnitude and direction. Speed is the magnitude part of velocity. Since momentum is the product of mass (a scalar) and velocity (a vector) if two objects are moving in different directions, even if they have the same mass and speed, their momentums are different.
When two vectors with different magnitudes and opposite directions are added :-- The magnitude of the sum is the difference in the magnitudes of the two vectors.-- The direction of the sum is the direction of the larger of the two vectors.
Magnitude and direction
no it does not have direction because it isn't there. Just ask yourself this? Which direction would it be? But yes it does at the same time: equally in all directions. But the point that OPer wants understood, is that zero has no magnitude. So here is a case where no magnitude is tantamount to infinite (but not indefinitely finite) magnitude.
yes we can have. for eg electric current, pressure etc though these quantities have both magnitude and direction their directions are not necessary to define them and vectors are those quantities which has magnitude and requires direction to be defined " quantities having both magnitude and direction is a vector" is not a corrrect definition ofa vector
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
each force itself is a vector quantity, so in order to determine the net force on an object, you need to add those vectors together either using law of cosines, or breaking the vectors to its i and j components. after doing so you will end up with a new vector, which is the sum of two other vectors. the new vector will have both new magnitude and direction.
It is necessary to know the magnitude and the direction of the vector.