Introduction:
In physics and mathematics, it is often required to add vectors to find the resultant vector. However, sometimes adding vectors can lead to a zero resultant vector. In this article, we will discuss how many minimum numbers of vectors in different planes can be added to give a zero resultant.

Explanation:
To understand how many minimum numbers of vectors in different planes can be added to give a zero resultant, let us consider the following examples.

Example 1:
Consider two vectors A and B, where A = (3, 2) and B = (-3, -2). When we add these two vectors, we get a zero resultant vector. Therefore, we can say that we need a minimum of two vectors in the same plane to give a zero resultant.

Example 2:
Consider three vectors A, B, and C, where A = (1, 0, 1), B = (0, 1, 1), and C = (-1, -1, -2). When we add these three vectors, we get a zero resultant vector. However, these three vectors are not in the same plane as they are in 3D. Therefore, we can say that we need a minimum of three vectors in different planes to give a zero resultant.

Example 3:
Consider four vectors A, B, C, and D, where A = (1, 0, 1), B = (0, 1, 1), C = (-1, -1, -2) and D = (-1, 1, 1). When we add these four vectors, we get a zero resultant vector. However, these four vectors are not in the same plane as they are in 3D. Therefore, we can say that we need a minimum of four vectors in different planes to give a zero resultant.

Conclusion:
From the above examples, we can conclude that we need a minimum of two vectors in the same plane to give a zero resultant and a minimum of three vectors in different planes to give a zero resultant in 3D space.

3 vectors are required having a different plane which can be added to give ZERO resultant...the resultant of 2 vectors must be equal in magnitude but opposite in the direction with refrence to third vector...so that they can be cancel out each other to give zero resultant