When two displacement vectors are in the same direction, you add them together to find the resultant displacement. This is because they are working together to move an object further in that direction.
Displacement vector in the same direction = 3 m + 5 m = 8 m.
8m in the same direction.
The combined displacement vector would be 8 meters in the same direction as the individual vectors, as you simply add the magnitudes of the vectors together.
The combined displacement vector will have a magnitude of 8m. This is found by simply adding the magnitudes of the two original displacement vectors together (3m + 5m = 8m), since they are in the same direction.
A vector quantity is one which transforms like the coordinates. In other words, if a coordinate system is transformed by an operator , any vector quantity in the old coordinate system can be transformed to its equivalent in the new system by the same operator. An example of a vector quantity is displacement (r). If displacement is a vector, the rate of change of displacement (dr/dt) or the velocity is also a vector. The mass of an object (M) is a scalar quantity. Multiplying a vector by a scalar yields a vector. So momentum, which is the mass multiplied by velocity, is also a vector. Momentum too transforms like the coordinates, much like any other vector. The definition of a vector as a quantity having "magnitude and direction" is simply wrong. For example, electric current has "magnitude and direction", but is a scalar and not a vector.
Displacement vector in the same direction = 3 m + 5 m = 8 m.
8m in the same direction.
The combined displacement vector would be 8 meters in the same direction as the individual vectors, as you simply add the magnitudes of the vectors together.
Yes, as long as the direction is exactly opposite (180 degrees from each other). A vector has both magnitude and direction.
The combined displacement vector will have a magnitude of 8m. This is found by simply adding the magnitudes of the two original displacement vectors together (3m + 5m = 8m), since they are in the same direction.
The result will also be a velocity vector. Draw the first vector. From its tip draw the negative of the second vector ( ie a vector with the same magnitude but opposite direction). The the resultant would be the vector with the same starting point as the first vector and the same endpoint as the second. If the two vectors are equal but opposite, you end up with the null velocity vector.
Yes, if a vector doubles in magnitude with the same direction, then its components will also double in value. This is because the components of a vector are directly proportional to its magnitude in the same direction.
A vector quantity is one which transforms like the coordinates. In other words, if a coordinate system is transformed by an operator , any vector quantity in the old coordinate system can be transformed to its equivalent in the new system by the same operator. An example of a vector quantity is displacement (r). If displacement is a vector, the rate of change of displacement (dr/dt) or the velocity is also a vector. The mass of an object (M) is a scalar quantity. Multiplying a vector by a scalar yields a vector. So momentum, which is the mass multiplied by velocity, is also a vector. Momentum too transforms like the coordinates, much like any other vector. The definition of a vector as a quantity having "magnitude and direction" is simply wrong. For example, electric current has "magnitude and direction", but is a scalar and not a vector.
Position and displacement are related concepts in physics but are not the same. Position refers to the location of an object relative to a reference point, while displacement is a vector quantity that describes the change in position of an object and includes information about both the distance and direction of the change.
Yes they are. Vector quantities has both magnitude and direction, whereas scalar quantities only have magnitude. Examples of vector quantities: Displacement (Δd) - 10 m [W] or 36 km [W] Velocity (v) - 10 m/s [60° N of W] or 36 m/s [60° N of W] Acceleration - 9.8 m/s2 [↓] - this value is the acceleration dude to gravity (if we ignore air resistance).
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
The magnitude is the same, the direction vector is not.