Down is a vector quantity because it has both direction (downward) and magnitude (20 feet).
Scalar quantities are an amount, for example 5 pounds, 15 feet, etcetera. Vector quantities are an amount coupled with a direction, for example 20 miles northwest, 7 meters south, etcetera.
Vectors are quantities that have a size and a direction.Examples: Displacement, velocity, acceleration, momentum, force.Scalars are quantities that have a size but no direction.Examples: Temperature, cost, speed, length, height, width, age, energy.=====Scalar quantities have only magnitude. Vector quantities have both magnitude and direction. Temperature and volume are scalar because they don't have a particular direction.Velocity and Force (because acceleration actually has a direction) are vector quantities.Velocity is the combination of the scalar quantity of speed with a direction for that speed. Speed is always a positive number but velocity can be negative and positive because it has a direction.
Scalars can be negative, and so can a change in a scalar value.Take temperature:You can have a temperature of -10 degrees.If temperature falls from 20 to 5 degress, the change was -15 degree.The negative value of the scalar is a consequence of where you take the "zero" to be.With speed you have to be very careful because speed is the scalar bit of velocity. Velocity with no consideration of direction.
Short answer: Because it doesn't have a direction. Medium answer: Speed can't because it doesn't have direction - whichever direction it's going in, it's going forward. Velocity, on the other hand, can be negative because it does have direction - if it's negative, it's going backwards. Long answer: (and it's very long. Bear with me here.) In mechanics, which is the area of math we're dealing with, there are two types of quantities: vector and scalar. Vectors have magnitude (size) and direction; scalars just have direction. For example, imagine a brick. The brick is quite heavy, and we can describe its heaviness in two ways. We can say that it has a large mass, or we can say that it has a large weight. Mass is a scalar: it doesn't change. If you throw the brick at a wall, it's going to make more or less the same impression as if you throw it at the floor, and no matter which direction you pull it in or where you put it, it always has the same mass. Weight, on the other hand, is a vector: it has a specific direction - down, or more accurately, the center of the Earth. If you moved the brick 20 miles straight up, it's going to weigh less than if you moved it 20 miles straight down (not very much less, but still). The fact remains that weight always acts down. The equivalent of the mass/weight difference in the situation we're talking about is speed and velocity. Velocity is a vector - it has a direction and is assumed to always act in that direction. Therefore, if it's negative, it is acting against that direction and moving backwards. Speed is a scalar - like I said before, it doesn't have a direction, so wherever it's going is forward.
Scalars can be negative, and so can a change in a scalar value.Take temperature:You can have a temperature of -10 degrees.If temperature falls from 20 to 5 degress, the change was -15 degree.The negative value of the scalar is a consequence of where you take the "zero" to be.With speed you have to be very careful because speed is the scalar bit of velocity. Velocity with no consideration of direction.
scalar
When a scalar quantity(if it has positive magnitude) is multiplies by a vector quantity the product is another vector quantity with the magnitude as the product of two vectors and the direction and dimensions same as the multiplied vector quantity e.g. MOMENTUM
Scalar quantities are an amount, for example 5 pounds, 15 feet, etcetera. Vector quantities are an amount coupled with a direction, for example 20 miles northwest, 7 meters south, etcetera.
Any "scalar" quantity, such as speed, temperature, frequency, cost, etc.
We generally think of electric current as a scalar quantity. When we think of 1/4th amp or 20 amps, we think of an amount (a scalar quantity) of current flow. On another plane, the electromagnetic forces at work in current generation are actually force vectors. In the traditional sense, electric current, which is the movement of electrons, is from negative to positive. This is not a vector, though. In the macro or "large" world, think of current as scalar.---------------------------------------------------------------------The beauty is that though current is not a vector definitely its direction of flow is used to make length as vector. I is not vector. dl is not vector but I dl will be considered as vector. So innovative and essential concept.Current density is a vector which appears in Maxwell's equations.
Vectors are quantities that have a size and a direction.Examples: Displacement, velocity, acceleration, momentum, force.Scalars are quantities that have a size but no direction.Examples: Temperature, cost, speed, length, height, width, age, energy.=====Scalar quantities have only magnitude. Vector quantities have both magnitude and direction. Temperature and volume are scalar because they don't have a particular direction.Velocity and Force (because acceleration actually has a direction) are vector quantities.Velocity is the combination of the scalar quantity of speed with a direction for that speed. Speed is always a positive number but velocity can be negative and positive because it has a direction.
Scalars can be negative, and so can a change in a scalar value.Take temperature:You can have a temperature of -10 degrees.If temperature falls from 20 to 5 degress, the change was -15 degree.The negative value of the scalar is a consequence of where you take the "zero" to be.With speed you have to be very careful because speed is the scalar bit of velocity. Velocity with no consideration of direction.
A measurement that has magnitude and direction. The magnitude is equal to the absolute value of the vector measurement. For example, Velocity is a vector measurement. A velocity of -20 miles per 1 second would suggest moving away from the origin point in a two-dimensional measurement at a rate of 20 miles per 1 second. The absolute value of this would be 20 miles per 1 second, which would also be the speed. Therefore, speed is the magnitude of Velocity. Subsequently, any measurement that has a magnitude, but no direction, is not a Vector measurement, but rather a scalar measurement. Some examples of vector measurements would be Displacement, Velocity, and Acceleration.
1). one hour's progress during a motor trip 2). velocity of the car 3). acceleration of the car when the brakes are applied 4). gravitational force on a ball hanging from a string 5). force pulling a rolling ball down a ramp 6). lift on an airplane wing 7). drag on an airplane wing 8). torque on a wing-nut while tightening it 9). power radiated from Channel-2's TV transmitter 10). tension in bridge-support cables
20
20 feet
Well, honey, let me break it down for you. One yard is equal to 3 feet, so 6 yards is 18 feet. And last time I checked, 20 is bigger than 18. So yes, 20 feet is indeed bigger than 6 yards. Math doesn't lie, darling.