It is a vector that has the opposite direction to the reference positive direction. (A vector is one point in space relative to another.) Negative vector is the opposite direction
can a magnitude of a vector has negative value?
You should express a vector along the x-axis as negative when it points in the negative x-direction relative to a chosen positive direction. This convention helps maintain consistency with vector addition and trigonometric methods.
In physics, a negative vector is a vector that points in the opposite direction to a positive vector of the same magnitude. Negative vectors are used to represent quantities or forces that act in the opposite direction within a specific coordinate system.
The cross product of two vectors can result in a negative vector if the two original vectors are not parallel to each other and the resulting vector points in the direction opposite to what is conventionally defined as the right-hand rule direction. In essence, the orientation of the resulting vector determines if it is negative or positive.
No, not necessarily. A vector is a quantity that has both magnitude and direction. While it can have positive and negative values, not all quantities with positive and negative values represent vectors. Vectors must also obey the rules of vector addition and scalar multiplication.
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.
a vector with nothing in it
can a magnitude of a vector has negative value?
You should express a vector along the x-axis as negative when it points in the negative x-direction relative to a chosen positive direction. This convention helps maintain consistency with vector addition and trigonometric methods.
No because magnitude is like length and you cannot have negative length
When the arrow representing the vector would point toward negative x.
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...
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.
A vector is a quantity described by size and direction. Mathematically, the square of a vector is negative, e.g. i^2 = -1, thus a quantity whose square is negative is a vector, e.g. 5i is a vector because (5i)^2 = -25.
A resultant vector is one vector which can replace all the other vectors and produce the same effect.
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.