Zero is a number (a scalar quantity without unit) while zero vector (or null vector) is a vector quantity having zero magnitude and arbitrary direction.
no,zero cannot be added to a null vector because zero is scalar but null vector is a vector,although null vector has zero magnitude but it has direction due to which it is called a vector.
No, a vector cannot be added to a scalar. You could multiply a null vector by zero (and you'd get the null vector), but you can't add them.
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...
Only if your zero is a null vector. You cannot add pure numbers and vectors.
Nothing - 0, Zero and null are the same things
scalar cannot be added to a vector quantity
Such vector is called NULL VECTOR.
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
The vector sum of a group of forces is zero. The vector sum of a group of forces isn't zero.
there is none you weasel. the only good matrix is revolutions. :)
The zero magnitude by itself is no big deal. A greater problem is that no definite direction can be assigned to it. However, like many other mathematical structures, a zero element is required for the theory to be complete.
If an object is at rest, it has no velocity - its velocity is zero. More precisely, since velocity is a vector, in this case the velocity would be the null vector.
A NULL in C is a pointer with 0 value, which cannot be a valid address. A null in Oracle is the condition of not having a value, such as a field in a row being null, meaning that it does not have a value. This is not the same as zero - zero and null are two different things. Note, however, that Oracle does not differentiate between a null and a zero length string. This was an error in non-ANSI implementation made many years ago, but it has persisted because fixing it would impact too much "running" code.
A zero vector is a vector whose value in every dimension is zero.
It has the role of the identity element - same as, in the case of real numbers, the zero for addition, and the one for multiplication.
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
If all the components of a vector are zero, the magnitude of the vector will always be zero.
an unbalanced force means that the vector sum of all the forces on an object is not equal to zero but balance force means it is zero
If any component of a vector is not zero, then the vector is not zero.
NO, a vector will not be zero if one of its components will be zero.
yes, it is called as zero vector.
The zero vector occurs in any dimensional space and acts as the vector additive identity element. It in one dimensional space it can be <0>, and in two dimensional space it would be<0,0>, and in n- dimensional space it would be <0,0,0,0,0,....n of these> The number 0 is a scalar. It is the additive identity for scalars. The zero vector has length zero. Scalars don't really have length. ( they can represent length of course, such as the norm of a vector) We can look at the distance from the origin, but then aren't we thinking of them as vectors? So the zero vector, even <0>, tells us something about direction since it is a vector and the zero scalar does not. Now I think and example will help. Add the vectors <2,2> and <-2,-2> and you have the zero vector. That is because we are adding two vectors of the same magnitude that point in opposite direction. The zero vector and be considered to point in any direction. So in summary we have to state the obvious, the zero vector is a vector and the number zero is a scalar.
The magnitude of the zero vector is zero, hence the name.