They need equal magnitudes and opposite directions.
No.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Their DIFFERENCE will be zero if and only if they have the SAME direction.
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
In order for two vectors to add up to zero:-- their directions must be exactly opposite-- their magnitudes must be exactly equal
No.
Two vectors with unequal magnitudes can't add to zero, but three or more can.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Their DIFFERENCE will be zero if and only if they have the SAME direction.
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
In order for two vectors to add up to zero:-- their directions must be exactly opposite-- their magnitudes must be exactly equal
Yes.
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.
Their sum can be zero only if their magnitudes are equal and their directions are exactly opposite.
Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.
First of all, you have to define what you mean by "vector product".-- The "dot product" is zero if the vectors are perpendicular, regardless of their magnitudes.-- The "cross product" is zero if the vectors are collinear or opposite, regardless of their magnitudes.-- Perhaps when you say "product", you mean the "result" of two vectors, whicha mathematician or physicist would cal their "sum".The sum of two vectors is zero if their magnitudes are equal and their directionsdiffer by 180 degrees.An infinite number of other possibilities exist for a sum of zero, depending on themagnitudes and directions of two vectors.
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.