Vectors. A scalar times a vectro is a vector. A vector times a vector is a scalr if the vectros are parallel v1.v2 = scalar. A vector times a vector is a vector if the vectors are perpendicular. Other wise a vectro times a vector is both a scalr and a vector,
v1v2 = -v1.v2 + v1xv2 = -v1v2cos(x) + vqv2sin(x). If cos(x) =0 then perpendicular if sin(x)=0 then parallel.
In general the product of two vectors is a quaternion the sum of a scalar and a vector. The Universe is composed of quaternions. Science and Physics has failed to appreciate that the numbes of the universe are quaternions, the sum of a scaltr and a vector. Hamilton invented quaternions in 1843.
That results in vectors.
The result is a vector.
No, scalars and vectors are not the same. Scalars are measurements in numbers. Examples: work, energy, mass, speed, and distance. Scalars measure in one magnitude. Vectors measure velocity, acceleration, force, and momentum.
Vectors can be added to other vectors in the same vector space. Scalars can be added to other scalars if they have the same units. Scalars cannot be added to vectors, nor vice versa, directly.
Measurable quantities are vectors or scalars. "Space" is not a measurable quantity. "Volume" is. It's a scalar.
It has both velocity and direction. A vector has direction and magnitude.
The result is a vector.
What are difference between scalars and vectors
Vectors have a direction associated with them, scalars do not.
no!!!only scalars and scalars and only vectors and vectors can be added.
No, scalars and vectors are not the same. Scalars are measurements in numbers. Examples: work, energy, mass, speed, and distance. Scalars measure in one magnitude. Vectors measure velocity, acceleration, force, and momentum.
Without the difference between scalars and vectors the Universe doesn't work !
Vectors can be added to other vectors in the same vector space. Scalars can be added to other scalars if they have the same units. Scalars cannot be added to vectors, nor vice versa, directly.
Both scalars and vectors have quantity. The difference is a vector has quantity and direction, whereas scalars only have quantity.
Because scalars do not take in the direction but just the magnitude while vectors can. You can add vectors ONLY if they are in the same direction.
no
They both have magnitude.
vectors and scalars.....