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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.
What else can I help you with?
Multiplying or dividing vectors by scalars results in what?
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.
Are vectors and scalars the same?
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.
How do you classify physical quantities?
Physical quantities can be classified as scalars or vectors. Scalars have only magnitude, such as mass or temperature, while vectors have both magnitude and direction, like velocity or force. Scalars and vectors are further categorized into base quantities (e.g. length, time) and derived quantities (e.g. speed, acceleration).
Can Vectors be added together scalar quantities cannot?
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.
What do you mean by tensor?
A tensor is a mathematical object that generalizes the concepts of scalars, vectors, and matrices. It can represent relationships between geometric vectors, scalars, and other tensors. In physics and engineering, tensors are used to describe various physical properties and phenomena in a mathematical framework.
Multiplying or dividing vectors by scalars results in what?
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.
What are difference between scalars and vectors?
What are difference between scalars and vectors
One difference between vectors and scalars?
Vectors have a direction associated with them, scalars do not.
Are vectors and scalars the same?
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.
Is it possible the add a vector and scalar?
no!!!only scalars and scalars and only vectors and vectors can be added.
Why is the difference between scalars and vectors important?
Without the difference between scalars and vectors the Universe doesn't work !
Do vectors have quantity?
Both scalars and vectors have quantity. The difference is a vector has quantity and direction, whereas scalars only have quantity.
Why can't we add or subtract vectors like scalars?
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.
What are the two kinds of measure?
vectors and scalars.....
What are two kind of measurement?
vectors and scalars.....
Are the rules of adding vectors and scalars the same?
no
How are scalars and vectors simi?
They both have magnitude.
