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.
Vectors can have both forward and reverse orientations depending on how they are defined or interpreted. In physics, vectors represent quantities with both magnitude and direction, so they can be applied in different directions. In mathematics, vector operations may result in vectors pointing in opposite directions.
Yes, two vectors with different magnitudes can be combined to give a zero resultant if they are in opposite directions. However, it is not possible for three vectors with different magnitudes to give a zero resultant because they must have specific magnitudes and directions to cancel each other out completely.
If all magnitudes are different, then minimum is three.
It is a displacement equal in magnitude to the difference between the two vectors, and in the direction of the larger vector.
Two vectors having same magnitude but different direction are called equivalent vectors.
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.
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.
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
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.