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No it doesn't. A unit vector indicates direction only. The length of the orthogonal components are RELATIVE to the absolute length of the vector, thus cannot have a unit.
For instance, let X'=X/x where X is a vector, x is a scalar and X' is a unit vector. X has length and direction and x has length only, thus X' has direction only.
Here's an example.
C = A + B where A=3m*A' and B=4m*B'
(where A and B are orthogonal)
cC' = aA' + bB'
C' = (a/c)A' + (b/c)B'
= xA' + yB'
c = sqrt(3m^2+4m^2) = 5m (by pythagorous)
x = (3m/5m) = (3/5) (notice that the units cancel out!)
y = (4m/5m) = (4/5) (notice that the units cancel out!)
What else can I help you with?
Can a vector be represented in terms of unit vector?
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
What is unit vector in physics?
a vector having unit magnitude and have a certain direction.
What is the unit vector n that points in the direction of propagation?
The unit vector n that points in the direction of propagation is a vector with a magnitude of 1 that indicates the direction in which a wave or signal is moving.
What is SI unit of unit vector?
The unit vector itself does not have a specific SI unit because it is a dimensionless quantity. A unit vector is defined as a vector with a magnitude of one, used to indicate direction. It is typically represented as a normalized form of a vector, retaining the direction while discarding the magnitude. Therefore, it is expressed in the same units as the original vector from which it is derived, but the unit vector itself is simply a ratio and has no units.
What are unit vectors?
a unit vector is a vector which has exact same direction and has its length or magnitude equal to one
If a vector quantity is divided by its magnitude the vector obtained is called?
The vector obtained by dividing a vector by its magnitude is called a unit vector. Unit vectors have a magnitude of 1 and represent only the direction of the original vector.
How can you find a unit vector in the same direction as the given vector?
Divide the vector by it's length (magnitude).
What is gradient of a vector field?
It is the rate of change in the vector for a unit change in the direction under consideration. It may be calculated as the derivative of the vector in the relevant direction.
What is unit vector?
A unit vector is a vector with a magnitude of 1. It is often used to indicate direction without influencing the scale of a vector. Unit vectors are important in mathematics, physics, and engineering for simplifying calculations involving vectors.
Why you call unit vector as vector?
because it has an orientation(a direction) it also helps later on with certain operations, but it is a vector because it has a length(1) and a direction(whatever that may be)
What way round does the vector go?
Vectors have magnitude (length) and direction. The direction of a vector is typically described by an arrow pointing from its origin to its endpoint. The direction can be described using angles or as a unit vector pointing in the desired direction.
What is the maximum resultant possible when adding a 13-unit vector to an 18-unit vector?
31
