When can the addition of two vectors be zero?

When can the addition of two vectors be zero?

Yes, two vectors of equal magnitude that are pointing in opposite directions will sum to zero. Two vectors of unequal magnitude can never sum to zero. If they point along the same line, since their magnitudes are different, the sum will not be zero.

What does it mean to add vectors?

Vector addition is the operation of adding two or more vectors together into a vector sum. The so-called parallelogram law gives the rule for vector addition of two or more vectors. For two vectors and , the vector sum is obtained by placing them head to tail and drawing the vector from the free tail to the free head.

Does it make a sense to call a physical quantity a vector when its magnitude is zero?

Does it make sense to call a physical quantity a vector when its magnitude is zero ? Yes,null vector has a definite physical significance. Aakash EduTech Pvt.

Which quantity Cannot zero?

Answer. Explanation: A vector quantity is can’t be zero if it’s magnitude is zero…… But displacement can be zero and it is a vector quantity because if object is travelled a distance of 20m and comes back to home it’s displacement will be zeroooo……

Why can vectors be added algebraically?

Because vector has both magnitude and direction. Magnitude can be added algebraically but direction cannot be added algebraically.

Does a null vector has direction?

A null vector is a vector having magnitude equal to zero. A null vector has no direction or it may have any direction. Generally a null vector is either equal to resultant of two equal vectors acting in opposite directions or multiple vectors in different directions.

What is the difference between zero and null vector?

If all the components of →x are zero, it is called the zero vector. If the length of a vector →x is zero then, it is called the null vector. In n dimensional Euclidean space (En), there is no distinction between zero vector and null vector.

What is null vector write two properties?

If we add or substract zero vector to any vector, resultant vector will be the same vector. Position vector of the zero vector is zero. Null vector is a vector whose magnitude is zero and it has arbitrary direction. Sum or cross product of two vectors are vectors thus, null vectors arises in such operations.

What is null vector write property?

It is defined as a vector that has zero length or no length and with no length, it is not pointing to any particular direction. Therefore, it has no specified direction or we can say an undefined direction. The identity element of the vector space is called a zero vector. It is also known as a null vector.

What is zero vector give two examples?

When the magnitude of a vector is zero, it is known as a zero vector. Zero vector has an arbitrary direction. Examples: (i) Position vector of origin is zero vector. (ii) If a particle is at rest then displacement of the particle is zero vector.

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