Table of Contents
- 1 Can you add two vectors of unequal magnitudes and get zero?
- 2 Can two vectors of unequal magnitude add up to give the zero vector can three unequal vectors If you answered yes under what conditions?
- 3 Can two vectors of different magnitudes give zero resultant?
- 4 Are two vectors with the same magnitude necessarily equal?
- 5 Can two vectors of the same magnitude form a closed polygon?
- 6 Are two vectors equal if their sum is zero?
Can you add two vectors of unequal magnitudes and get zero?
No it is not possible to obtain zero by adding two vectors of unequal magnitudes. Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction.
Can two vectors of unequal magnitude add up to give the zero vector can three unequal vectors If you answered yes under what conditions?
If any three vectors add up to zero, they must form a triangle in which each vertex is the head of one vector and tail of other vector. Since a scalene triangle exists, three unequal vectors can add up to zero.
Can two coplanar vectors of unequal magnitude add up to give a zero sum how explain?
Can two vectors of different magnitudes be combined to give a zero resultant? No, two vectors of different magnitudes can not give zero resultant. … This is because the effect of vectors cancels out only when they act in the opposite direction and have the same magnitude.
Is it possible to add two vectors of equal magnitude and get zero Is it possible to add three vectors of equal magnitudes and get zero?
Yes, it is possible to add three vectors of equal magnitudes and get zero. and A , → B → and C → ,given these three vectors make an angle of with each other. Lets examine the components of the three vectors.
Can two vectors of different magnitudes give zero resultant?
No, because the vector sum of two vectors of different magnitudes can vever be zero.
Are two vectors with the same magnitude necessarily equal?
For two vectors to be equal, they must be equal in magnitude and have the same direction. Thus, two vectors with the same magnitude are not necessarily equal. They must also point in the same direction.
Can two vectors of unequal magnitude give a null vector?
Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no, two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant. ← Prev Question Next Question →
How do you add two vectors of the same magnitude?
Since these must have the same magnitude, you cannot add two vectors of different magnitude to get the zero vector. Three vectors of equal magnitude that add to 0 is easy, Starting with a vector v, all you need to do is find two vectors that add to -v with the same magnitude as v.
Can two vectors of the same magnitude form a closed polygon?
It is possible only for 3 or more vectors of unequal magnitude to form a closed polygon ( A triangle for 3, a quadrilateral for 4 and so on). But if the sum of 2 vectors has to be zero, then they must be equal in magnitude and opposite in direction.
Are two vectors equal if their sum is zero?
Thus the two vectors are unequal but their magnitude is same (and direction is opposite). The resultant of two vectors mean the sum of the vectors. Consider the two vectors a ¯ and − a ¯, then both are not equal but their sum is zero. So, the answer is yes.