Same direction and equal magnitudes.
a magnitude and direction
for a vector quantity it must have both magnitude and direction and since it has both magnitude and direction it is therefore considered a vector
Because a vector contains information about the direction. A direction, at any particular position is the tangent to the curve and this, by definition, must be straight.
Scalar QuantitiesMost of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical examples of scalar quantities are time, speed, temperature, and volume. A scalar quantity or parameter has no directional component, only magnitude. For example, the units for time (minutes, days, hours, etc.) represent an amount of time only and tell nothing of direction. Additional examples of scalar quantities are density, mass, and energy.Vector QuantitiesA vectorquantity is defined as a quantity that has both magnitude and direction. To work with vector quantities, one must know the method for representing these quantities. Magnitude, or "size" of a vector, is also referred to as the vector's "displacement." It can be thought of as the scalar portion of the vector and is represented by the length of the vector. By definition, a vector has both magnitude and direction. Direction indicates how the vector is oriented relative to some reference axis, as shown in Figure 1. Using north/south and east/west reference axes, vector "A" is oriented in the NE quadrant with a direction of 45 north of the o EW axis. G iving direction to scalar "A" makes it a vector. The length of "A" is representative of its magnitude or displacement.Another AnswerA scalar quantity refers only to the magnitude of the quantity and answers the question how much. Ex. height, weight, volume, and the like. 2 lbs of sugar is scalar, 4 m long is scalarA vector quantity refers to both magnitude and direction and answers how much and where is it going, (in that sense)Ex. forces, velocity. 200 km/hr at N30degE is a vector, the force required to push a drum up or down a ramp is a vector, the force exerted by the cue stick in billiards is a vector a scalar is a number, like a distance... like the moon is 300.000km away from earth.a vector is a number AND a direction. It's like "moving east at 100km/h"while "moving at 100km/h" alone is a scalar.The idea is that a scalar has only ONE dimension, while a vector has several.
Its directiondirection
Vector quantities are those that must be described with both a magnitude and direction. Scalar quantities can be described with only a single value.
Scalar quantities are described by a number alone, while vector quantities require a number and a direction, and as area cannot have an associated direction, must be scalar.
Scalar - a variable quantity that cannot be resolved into components. Most of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical examples of scalar quantities are time, speed, temperature, and volume. A scalar quantity or parameter has no directional component, only magnitude. For example, the units for time represent an amount of time only and tell nothing of direction. Vector - a variable quantity that can be resolved into components. A vectorquantity is defined as a quantity that has both magnitude and direction. To work with vector quantities, one must know the method for representing these quantities. Magnitude, or "size" of a vector, is also referred to as the vector's "displacement." It can be thought of as the scalar portion of the vector and is represented by the length of the vector. By definition, a vector has both magnitude and direction. Direction indicates how the vector is oriented relative to some reference axis.
Scalar - a variable quantity that cannot be resolved into components. Most of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical examples of scalar quantities are time, speed, temperature, and volume. A scalar quantity or parameter has no directional component, only magnitude. For example, the units for time represent an amount of time only and tell nothing of direction. Vector - a variable quantity that can be resolved into components. A vectorquantity is defined as a quantity that has both magnitude and direction. To work with vector quantities, one must know the method for representing these quantities. Magnitude, or "size" of a vector, is also referred to as the vector's "displacement." It can be thought of as the scalar portion of the vector and is represented by the length of the vector. By definition, a vector has both magnitude and direction. Direction indicates how the vector is oriented relative to some reference axis.
a magnitude and direction
for a vector quantity it must have both magnitude and direction and since it has both magnitude and direction it is therefore considered a vector
A vector quantity (velocity, etc.)
Yes, vectors must have the direction. Without direction, it is simply a scalar quantity.
Because a vector contains information about the direction. A direction, at any particular position is the tangent to the curve and this, by definition, must be straight.
Scalar QuantitiesMost of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical examples of scalar quantities are time, speed, temperature, and volume. A scalar quantity or parameter has no directional component, only magnitude. For example, the units for time (minutes, days, hours, etc.) represent an amount of time only and tell nothing of direction. Additional examples of scalar quantities are density, mass, and energy.Vector QuantitiesA vectorquantity is defined as a quantity that has both magnitude and direction. To work with vector quantities, one must know the method for representing these quantities. Magnitude, or "size" of a vector, is also referred to as the vector's "displacement." It can be thought of as the scalar portion of the vector and is represented by the length of the vector. By definition, a vector has both magnitude and direction. Direction indicates how the vector is oriented relative to some reference axis, as shown in Figure 1. Using north/south and east/west reference axes, vector "A" is oriented in the NE quadrant with a direction of 45 north of the o EW axis. G iving direction to scalar "A" makes it a vector. The length of "A" is representative of its magnitude or displacement.Another AnswerA scalar quantity refers only to the magnitude of the quantity and answers the question how much. Ex. height, weight, volume, and the like. 2 lbs of sugar is scalar, 4 m long is scalarA vector quantity refers to both magnitude and direction and answers how much and where is it going, (in that sense)Ex. forces, velocity. 200 km/hr at N30degE is a vector, the force required to push a drum up or down a ramp is a vector, the force exerted by the cue stick in billiards is a vector a scalar is a number, like a distance... like the moon is 300.000km away from earth.a vector is a number AND a direction. It's like "moving east at 100km/h"while "moving at 100km/h" alone is a scalar.The idea is that a scalar has only ONE dimension, while a vector has several.
Vector quantities are the quantities that have magnitude as well as direction. To express a vector quantity, we must specify the direction along with the magnitude. Examples are :- velocity, acceleration, torque, momentum, impulse, amplitude, wavelength,etc..
Its directiondirection