Table of Contents
- 1 Can two vectors of different magnitude be combined to give zero resultant can three vectors do explain?
- 2 Can the resultant of two vectors of different magnitude be zero?
- 3 Is it possible to combine a two equal b two unequal vectors to give zero resultant prove your answer?
- 4 Can a vector have zero magnitude if one of its component is not zero?
- 5 How do you find the dot product of two vectors?
- 6 Can a combination of two vectors sum to zero?
Can two vectors of different magnitude be combined to give zero resultant can three vectors do explain?
No , two vectors of different magnitude cannot give a zero resultant . But three vectors can , provided one vector is equal and opposite to the resultant of the other two vectors .
Can the resultant of two vectors of different magnitude be zero?
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.
Can two vectors of different magnitudes add to give zero resultant vector can three vectors give the zero resultant vector on addition if yes under what conditions?
Two vectors cannot sum to zero with different magnitudes. But three or more can sum to zero when they do not have the same magnitude. This is why many theorems are valid in 3D and higher but fail in 2D.
Can we combine three vectors of unequal magnitude to get a zero resultant?
Answer: Two vectors of unequal magnitudes cannot be added to get zero. Three vectors of equal magnitudes can be added to get zero. The difference of the magnitudes is the magnitude of resultant. If two vectors have unequal magnitudes their difference cannot be zero.
Is it possible to combine a two equal b two unequal vectors to give zero resultant prove your answer?
Can two vectors of unequal magnitude add up to give the zero vector? Two unequal vectors can never give zero vector by addition .
Can a vector have zero magnitude if one of its component is not zero?
A vector with zero magnitude cannot have non-zero components . Because magnitude of given vector ˉV=√V2x+V2y must be zero . This is possible only when V2x and V2y are zero.
Can three vectors with different magnitude give a zero resultant?
Yes, three vectors with different magnitude can give a zero resultant. As an example consider vectors, and, such that the resultant vector is.. Therefore the three vectors with different magnitude can give zero resultant.
Can two vectors of the same magnitude be combined?
“Combined” is not very well defined term. If you mean add, then the answer is no. If you mean dot-product, then yes. The reasons two vectors of different magnitude cannot add to zero are simple. Suppose two vectors add to zero. Then they must be of opposite directions (or zero themselves). Otherwise, adding them will create a nonzero component.
How do you find the dot product of two vectors?
If the vectors add to zero (the zero vector), then x1 – x2 = 0, that is x1 = x2; the vectors are of the same magnitude. On the other hand, two vectors that are orthogonal to each other will dot-product to zero, regardless of magnitude.
Can a combination of two vectors sum to zero?
No, or yes, depending on what “combine” means in your sentence. If I can use a combination of addition and multiplication, then yes. If I’m restricted to vector addition, then no, unless I can specify the vectors – then yes. A simple vector addition of two vectors of differing magnitudes cannot sum to zero.