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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...

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0no,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.

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.

Yes, you can add anything to null vector.

The sum of two null vectors is a null vector. And since a direction is not relevant for a null vector, the resultant has no direction either.

Yes, any number can be added to a null vector.

a vector with nothing in it

Only if your zero is a null vector. You cannot add pure numbers and vectors.

scalar cannot be added to a vector quantity

You cannot, unless it is a null vector. As a point.

No. But then can you prove that you do?

Such vector is called NULL VECTOR.

The null vector, also called the zero vector, is a vector a, such that a+b=b for any vector b. Also, b+( -b)=a An example in R3 is the vector <0,0,0> Here are some examples of its use <2,2,2>+<-2,-2,-2>=<0,0,0> <2,2,2>+<0,0,0>=<2,2,2>

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.

There are two possible answers to this; a) It has no direction b) It points in all directions Answer a is really more true, as the notion of a null vector precludes any notion of a direction, but the correct answer is b.

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.

Consider an equilateral triangle. If each vector started at the center of the triangle and went through a different vertex than the other two vectors then they would cancel. I believe in order for them to add to a null vector they must be co-planer.

Forces acting on a point such that it gives a null vector by vector addition law, then such type of forces are called balanced forces.

When you have two or more vectors that cancel each other out.

Two vectors; V1 + V2=0 where V1= -V2, two opposite vectors.

The result will also be a velocity vector. Draw the first vector. From its tip draw the negative of the second vector ( ie a vector with the same magnitude but opposite direction). The the resultant would be the vector with the same starting point as the first vector and the same endpoint as the second. If the two vectors are equal but opposite, you end up with the null velocity vector.

by head to tail rule..if they are equal in magnitude then their resultant is a null vector..

Yes, if one of the vectors is the null vector.

If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.

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