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scalor: a quantity having magnitude only, and no direction; exampless are mass,temperature,and time.
vector: a quantity that has both magnitude and direction ; examples are weight, velocity, and magnetic field strength.
Wiki User
∙ 13y ago
Wiki User
∙ 14y agoVectors and scalars are components of complex numbers. Complex numbers are z= x + iy, with one vector iy. The difference between the scalar part x and the vector part iy is, the square of the real part x is positive x^2 and the square of the vector part iy is negative -y^2. This square rule is what distinguishes scalars from vectors. Complex and Real Numbers are a subset of Quaternion Numbers.
thr
Quaternion q=w + ix + jy + kz = qw + qv contains one scalar (qw=w) and
three vectors (qv=Ix +jy + kz), . The three vectors make for a different rule for multiplication.
When there is only one vector the rule for multiplication is called commutative and AB=BA. This rule is what is generally taught in mathematics and science. Howver when there is more than one vector like in real world mathematics and science AB does not equal BA. This is called Non-commutaive mathematics.
Non-commutaive mathematics is the mathematics of of Quantum Physics. Quaternions provide the Unification of Relativity and Quantum Theory. Quaternions provide the correct four dimensions of Relativity Theory and the Non-Commutativity of Quantum Theory.
The general rule for multiplication of quaternions
AB= (AwBw -Av.Bv) + (AwBv + AvBw + AvxBv)
If the vectos Av and Bv are parallel AvxBv is zero and multiplication is commutative. If there is only one vector i like in complex numbers then AvXBv is always parallel ixi=0.
If the vectors Av and Bv are not parallel then multiplication is non-commutitive. Guess what most of the time things are not parallel in math and physics.
Scalars and vectors are very different and make up the two parts of numbers in math and science. Quaternions are the only kinds of numbers that can provide unique ( associative (AB)C = A(BC) ) division, such that you can solve equations like Ax=B.
Quaternion multiplication is all around us. Riding a bycycle uses quaternion math just like a gyroscope. Rotations in space requires quaternion multiplication.
It is important to distinguish between scalars and vectors and time to learn quaternion mathematics and understand the real world..
Wiki User
∙ 12y agoA vector is two sets of points. One is a start point, and the other is an end point, thus giving the vector two crucial qualities: magnitude, or length, and direction. A scalar is simply a regular number, like 5 or 20.7.
Wiki User
∙ 12y agoScalars: described by a magnitude alone. ( speed) Vectors: described by both a magnitude and a direction. (velocity)
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What is the difference between scalar and vector drives?
a vector drive is vertical, a scalar is horizontal.
What word indicates the difference between vector and scalar measurements?
Direction. A scalar has only magnitude, while a vector has both magnitude and direction.
The main difference between a scalar and a vector quantity is?
A vector quantity includes a direction; a scalar does not.A vector quantity includes a direction; a scalar does not.A vector quantity includes a direction; a scalar does not.A vector quantity includes a direction; a scalar does not.
The differences between scalar quantities and vector quantities?
A scalar quantity is just a number e.g. 3 miles A vector quantity is a number with directions e.g. 3 miles south So the difference between them is that vector has a particular direction to go with but a scalar quantity is just a number.
Difference between vector and scalar quantity?
A vector is a quantity with a direction that matters, like force, velocity, acceleration, etc. A scalar is a quantity with no direction, like temperature, cost, mass, etc.
What is the difference between scalar and vector drives?
a vector drive is vertical, a scalar is horizontal.
What word indicates the difference between vector and scalar measurements?
Direction. A scalar has only magnitude, while a vector has both magnitude and direction.
The main difference between a scalar and a vector quantity is?
A vector quantity includes a direction; a scalar does not.A vector quantity includes a direction; a scalar does not.A vector quantity includes a direction; a scalar does not.A vector quantity includes a direction; a scalar does not.
The differences between scalar quantities and vector quantities?
A scalar quantity is just a number e.g. 3 miles A vector quantity is a number with directions e.g. 3 miles south So the difference between them is that vector has a particular direction to go with but a scalar quantity is just a number.
What is the point of view why we need to study scalar and vector quantity?
There is a big difference between Scalar and vector quantity. Vector quantity means something where direction is not important.eg- Displacement(the shortest distance between the displacement points of an object). whereas in scalar quantity Direction is important. eg. Speed
Difference between vector and scalar quantity?
A vector is a quantity with a direction that matters, like force, velocity, acceleration, etc. A scalar is a quantity with no direction, like temperature, cost, mass, etc.
What is the difference between vector and scalar quantities?
Vector quantity is a quantity characterized by magnitude and direction.Whereas,Scalar quantity is a quantity that does not depend on direction.
Distinguish between scalar and vector quantity?
A scalar is just a number. A vector is a row or column of numbers. For example: 6 is a scalar while (1, 0, 23.5) is a vector.
What is the biggest difference between speed and velocity?
velocity is speed with direction; velocity is a vector and speed is a scalar
Difference of scalar pipelining and vector pipelining?
Scalar pipelining offers an alternative to vector pipelining whereby the cycles are used in a linear fashion. Vector pipelining performs vector computations.
Is the number of leaves on a tree scalar or vector?
scalar lol
Is momentum a vector?
Momentum is a vector quantity because the definition of momentum is that it is an object's mass multiplied by velocity. Velocity is a vector quantity that has direction and the mass is scalar. When you multiply a vector by a scalar, it will result in a vector quantity.
