Yes. Given A= Iax +J ay +K AZ and B= Ibx + Jby +K bz then,
A+B= I(ax + bx) + J(ay + by) + K(AZ + bz).
It is a displacement equal in magnitude to the difference between the two vectors, and in the direction of the larger vector.
Two vectors, no; three vectors yes.
It depends. Magnitude is technically the length of the vector represented by v. our equation of the magnitude is given by: v= SQRT( x^2 + y^2) You can have 2 similar vectors pointing at different directions and still get the same magnitude.
Yes, if they are pointing in opposite directions (separated by 180°).
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
It is a displacement equal in magnitude to the difference between the two vectors, and in the direction of the larger vector.
Two vectors: no. Three vectors: yes.
Two vectors having same magnitude but different direction are called equivalent vectors.
Two vectors, no; three vectors yes.
No. Three can, but two need to cancel out exactly, meaning they must have the same magnitude in opposite directions.
It depends. Magnitude is technically the length of the vector represented by v. our equation of the magnitude is given by: v= SQRT( x^2 + y^2) You can have 2 similar vectors pointing at different directions and still get the same magnitude.
No.
Yes, if they are pointing in opposite directions (separated by 180°).
Equal vectors are vectors having same direction of action or orientation as well as same magnitude. If two or more vectors have same magnitude but different direction then they cannot be called equal vectors. This shows that direction is important for equal vectors.
Two vectors with unequal magnitudes can't add to zero, but three or more can.
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
-- 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.