No.
The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
No two vectors of unequal magnitude cannot give the sum 0 because for 0 sum the 2 vectors must be equal and in opposite direction
Two vectors, no; three vectors yes.
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
Yes.
Yes. There are an infinite number of ways to do that. One way is: (5 pounds north) plus (3 pounds north) plus (8 pounds south).
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.
No two vectors of unequal magnitude cannot give the sum 0 because for 0 sum the 2 vectors must be equal and in opposite direction
Two vectors, no; three vectors yes.
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
Yes.
Yes, two vectors with different magnitudes can be combined to give a vector sum of zero if they are in opposite directions and their magnitudes are appropriately chosen. The magnitude of one vector must be equal to the magnitude of the other vector, but in the opposite direction, to result in a vector sum of zero.
Displacement is a vector quantity. Hence, while finding resultant vector we need to use vector algebra and the properties of vectors. If the 2 displacement vectore are in opposite directions,it means that the angle between them is 180degrees and hence we can directly subtract them.
Yes. There are an infinite number of ways to do that. One way is: (5 pounds north) plus (3 pounds north) plus (8 pounds south).
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Adding two vectors results in a new vector that represents the combination of the two original vectors. The new vector is defined by finding the sum of the corresponding components of the two vectors.