Can the sum of two vectors of equal magnitude be equal to magnitude of either of the vectors?

Can the sum of two vectors of equal magnitude be equal to magnitude of either of the vectors?

If you add two vectors with equal magnitude, and the magnitude of the resultant vector is equal to the magnitude of both vectors, then the three vectors obviously form an equilateral triangle.

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

The resultant of two vectors will be equal to either of them if: (i) The two vectors are of same magnitude. The resultant of two vectors will be equal to either of them if: (i) The two vectors are of same magnitude.

Can the sum of two vectors be perpendicular to both vectors?

It is proved that if the sum and difference of two vectors are perpendicular to each other, then the vectors are equal in magnitude.

Can the sum of two vectors of the same magnitude be a zero vector?

The sum of two vectors can only be zero if they are in opposite directions and have the same magnitude. If you walk 10 meters north and then 6 meters south, you won’t end up where you started.

Can there be 2 vectors of equal magnitude?

Hint: It is given that two vectors are equal in magnitude i.e. if A and B are two vectors then ∣A∣=∣B∣. 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 there be two vectors of equal magnitude?

Hint: The two vectors are equal in magnitude i.e. if the two vectors are →A and →Bthen |→A|=|→B|. The resultant of →A and →B is equal in magnitude with them i.e. |→A+→B|=|→A|=|→B|.

Can two vectors be the same?

Two or more vectors are equal when they have the same length, and they point in the same direction. Any two or more vectors will be equal if they are collinear, codirected, and have the same magnitude. If two vectors are equal, their column vectors will also be equal.

When two vectors A and B are added the magnitude of the resultant vector is always?

When two vectors a and b are added , the magnitude of the resultant vector is always. Two vectors of equal magnitude are added to give resultant which is same magnitude as the two vecto… Two vectors each of magnitude A have a resultant of same magnitude A.

What is the resultant of 2 perpendicular vectors?

The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of B. |→R|2=|→A|2+|→B|2+2|→A||→B|cos(θ), where |→R|, |→A|, |→B| are the magnitudes of the vectors and θ is the angle between →A and →B.

How do you add two vectors perpendicular to each other?

First find the resultant of any two of the vectors to be added. Then use the same method to add the resultant from the first two vectors with a third vector. This new resultant is then added to the fourth vector and so on, until there are no more vectors to be added.

Can two vectors of different magnitude?

No, two vectors of different magnitudes can not give zero resultant. Three vectors can give zero resultant but two vectors can not. This is because the effect of vectors cancels out only when they act in the opposite direction and have the same magnitude.