No.
-- A singe vector with a magnitude of zero produces a zero resultant.-- Two vectors with equal magnitudes and opposite directions produce a zero resultant.
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
First of all, try it out, to get an intuitive feeling for why this is so. For example, try moving 10 cm in any direction (or any other distance; you can use any unit); then see whether you can go back to the starting point by moving, say, 5 cm - or 20 cm.The reason this doesn't work is related to the fact that the distance back and forth - i.e., from point A to point B, versus from point B to point A - is the same.
No, the sum of two vectors cannot be equal to either of the vectors. Adding two vectors results in a new vector, with a magnitude and direction that is determined by the individual vectors being added.
The minimum possible magnitude that results from the combintion of two vectors is zero. That's what happens when the two vectors have equal magnitudes and opposite directions.The maximum possible magnitude that results from the combintion of two vectors is the sum of the two individual magnitudes. That's what happens when the two vectors have the same direction.
The sum of two unequal vectors can not be zero, because we can get minimum magnitude of two vectors when they are in opposite direction and can only get zero magnitude when they are equal in magnitude.................................... Answered by: SAJJAD AHMED(bfps doha Qatar)
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
It is impossible if the two vectors are of unequal magnitude.
-- A singe vector with a magnitude of zero produces a zero resultant.-- Two vectors with equal magnitudes and opposite directions produce a zero resultant.
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.
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. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
No.
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.
-- The minimum magnitude that can result from the combination of two vectors is the difference between their magnitudes. If their magnitudes are different, then they can't combine to produce zero. -- But three or more vectors with different magnitudes can combine to produce a zero magnitude.
Two vectors: no. Three vectors: yes.