Amplitude is a scalar because it is a magnitude that represents the maximum value of a wave. It does not have a direction associated with it, unlike vector quantities which have both magnitude and direction. This makes amplitude a scalar quantity.
Yes, because amplitude is the maximum displacement of a wave from its rest position and displacement has direction and it's a vector. hence, amplitude is a vector. That is a bit like saying a weigh scale is a vector, because it goes up and down as you get on and off it. As with weight, pressure, etc, amplitude is the scale of wave magnitude against which particular waves are measured. Frequency is the vector, because you are measuring from one peak to the next, so the "length" gives it "direction," ie. a vector.
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
Yes, you can multiply a vector by a scalar. The scalar will multiply each component of the vector by the same value, resulting in a new vector with each component scaled by that value.
A scalar is a single quantity that is represented by just a magnitude, such as temperature or speed. A vector is a quantity that has both magnitude and direction, like force or velocity. Scalars can be thought of as a subset of vectors with zero direction component.
Amplitude is a scalar because it is a magnitude that represents the maximum value of a wave. It does not have a direction associated with it, unlike vector quantities which have both magnitude and direction. This makes amplitude a scalar quantity.
Yes, because amplitude is the maximum displacement of a wave from its rest position and displacement has direction and it's a vector. hence, amplitude is a vector. That is a bit like saying a weigh scale is a vector, because it goes up and down as you get on and off it. As with weight, pressure, etc, amplitude is the scale of wave magnitude against which particular waves are measured. Frequency is the vector, because you are measuring from one peak to the next, so the "length" gives it "direction," ie. a vector.
A scalar times a vector is a vector.
vector
Scalar
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
An earthquake is neither a scalar nor a vector. It is an event.
vector
vector
Yes, you can multiply a vector by a scalar. The scalar will multiply each component of the vector by the same value, resulting in a new vector with each component scaled by that value.
Scalar
scalar