When you add two vectors is it possible to get a resultant vector which has a smaller magnitude than either vector?

As @almagest said, this means that the difference between the angles of the two vectors is 120 degrees. If the vectors are equal, then their sum will necessarily have a larger magnitude than either of them unless the vector is zero.

Can there be two vectors where the resultant is equal to either of them?

Two vectors of equal magnitude have a resultant equal to either of them in magnitude. The angle between them is: A. It is also mentioned that the magnitude of resultant is equal to the magnitude of either of them i.e. ∣A∣=∣B∣=∣A+B∣.

Can two vectors of different magnitude be combined to give a zero resultant?

Two vectors of different magnitudes cannot add to give zero resultant. Three vectors of different magnitude can add to give zero resultant if they are copanar.

How do you find the resultant vector of two vectors?

R = A + B. Vectors in the opposite direction are subtracted from each other to obtain the resultant vector. Here the vector B is opposite in direction to the vector A, and R is the resultant vector.

Can two vectors have the same components but different magnitudes?

Two or more vectors are equal when they have the same length, and they point in the same direction. If these two vectors are equal, then: ax1 = bx1 and ay1 = by1. Equal vectors can have different starting and ending points, but their magnitudes and orientation must be the same.

Can two vectors of different magnitudes add to give zero resultant vector can three vectors give the zero resultant vector on addition if yes under what conditions?

Two vectors cannot sum to zero with different magnitudes. But three or more can sum to zero when they do not have the same magnitude. This is why many theorems are valid in 3D and higher but fail in 2D.

What is the resultant of two vectors?

The resultant vector is the vector that ‘results’ from adding two or more vectors together. There are a two different ways to calculate the resultant vector. The head to tail method to calculate a resultant which involves lining up the head of the one vector with the tail of the other.

What is the component method of vector addition?

Component Method of Vector Addition. we learned that vectors oriented at right angles to one another can be added together using the Pythagorean theorem. For instance, two displacement vectors with magnitude and direction of 11 km, North and 11 km, East can be added together to produce a resultant vector that is directed both north and east.

How to draw a vector with two vectors next to each other?

The tail of the vector is where the vector begins. Place the two vectors next to each other such that the head of the one vector is touching the tail of the other vector. Draw the resultant vector by starting where

Can the magnitude of the resultant vector be less than the magnitude?

Can the magnitude of the resultant vector of two given vectors be less than the magnitude of any of the given vector?Explain. Yes, if the two vectors are at a sufficiently large obtuse angle. If C = A + B, where A, B, C are vectors, then C is the “resultant.” where theta is the angle between the vectors A and B.