"Positive" and "negative" is a concept that applies to real numbers, not to vectors. A vector (at least, the vectors commonly used in physics) has a length and a direction, and the way vectors are defined, this length (but not the vector itself) is always positive, or zero.
It is customary to use only positive or zero values. Of course, a vector with a negative value would be equivalent to a positive vector in the opposite direction.
No.
can a magnitude of a vector has negative value?
A vector has n both magnitude and direction. The magnitude is the vector length or value. For example if car is traveling at 60 mph heading East, its magnitude (speed) is 60 mph. Or, if a force of 100 pounds is applied at a 45 degree angle,its magnitude is 100 pounds.
Speed is only a magnitude (single value) while velocity is both magnitude and direction. Direction is a vector.
A vector is described by magnitude and direction (a scalar has only magnitude).
speed is a scalar quantity with magnitude only but no direction; velocity is a vector with both magnitude (speed) AND direction, which could be positive or negative
can a magnitude of a vector has negative value?
No, the value can't be negative because magnitude of a vector is just how long it is regardless of its direction. :-)
The magnitude of a vector is always treated as non negative and the minus sign indicates the reversal of that vector through an angle of 180 degree.
Vectors have magnitude and direction. The magnitude is always a positive number.
A null vector has no magnitude, a negative vector does have a magnitude but it is in the direction opposite to that of the reference vector.
No because magnitude is like length and you cannot have negative length
It is the numerical value of the vector.
Yes, a scalar can be a negative number. For instance: c<x₁,x₂> = <cx₁,cx₂> such that <x₁,x₂> is a vector. Let c = -1 for instance. Then, we have this vector: <-x₁,-x₂> Compared to <x₁,x₂>, <-x₁,-x₂> has negative signs. In physics and mathematics, if we multiply the vector or something by a negative value scalar, then the direction of the vector is reversed, and the magnitude stays the same. If the magnitude increases/decreases, and the direction of the vector is reversed, then we can multiply the vector by any negative non-1 scalar value.
A vector is characterized by a magnitude, direction and sense of direction. If you are referring to the magnitude of a vector, it cannot be negative because of the way the magnitude is calculated. For example, vector F has components Fx and Fy. The magnitude of F is (Fx^2+Fy^2)^(1/2)However, you could see something like -F. What you are really looking at is multiplying a vector, F by -1. What this means is that -F has the same magnitude and line of action as F, but has an opposite direction as F.
The magnitude of a vector is a geometrical value for hypotenuse.. The magnitude is found by taking the square root of the i and j components.
NULL VECTOR::::null vector is avector of zero magnitude and arbitrary direction the sum of a vector and its negative vector is a null vector...
Magnitude is the absolute value which is always positive.--Edit: Magnitude is a scalar quantity thus regardless of the direction of the vector (which determines is positivity or negativity) the magnitude would be positive.Example: you take two steps forwards; the magnitude is two steps, regardless of it being forward or backwards (positive or negative)