Are two vectors with the same magnitude are always equal?

By definition, two vectors are equal if and only if they have the same magnitude in the same direction. It can be seen from the figure that vector a and vector b are parallel and pointing in the same direction, but their magnitudes are not equal. Thus, we can conclude that the given vectors are not equal.

What is the resultant of two vectors having same magnitude?

Two vectors of equal magnitude have a resultant equal to either of them in magnitude.

Do opposite vectors have the same magnitude?

The vector −a is the opposite of the vector a. The vector −a has the same magnitude as a but points in the opposite direction.

Is it possible that the resultant of two vectors of equal magnitude has same magnitude as the two 1 vectors have?

Yes if the angle between the vectors is 120 degrees. In this situation, the two vectors and their sum (resultant) will form an equilateral triangle.

When two vectors are added together their resultant is a minimum when the angle between them is?

The resultant of two vector is minimum when both vectors are equal and in opposite direction i.e. the angle between the vector is 180 degrees.

What are the two rules for adding vectors together?

To add or subtract two vectors, add or subtract the corresponding components. Let →u=⟨u1,u2⟩ and →v=⟨v1,v2⟩ be two vectors. The sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the parallelogram method or the triangle method .

Can the magnitude of resultant of two vectors of unequal magnitude be equal to the sum of their magnitudes if yes then what should be the angle between the vectors?

Answer: Two vectors of unequal magnitudes cannot be added to get zero. Three vectors of equal magnitudes can be added to get zero. Explanation: While adding two vectors we get minimum resultant value if their directions are opposite. If two vectors have unequal magnitudes their difference cannot be zero.

Can vectors have the same magnitude?

If two vectors have the same magnitude (size) and the same direction, then we call them equal to each other. Two vectors are equal if they have the same magnitude and the same direction. Just like scalars which can have positive or negative values, vectors can also be positive or negative.

Do two vectors of the same magnitude have the same value?

But for any two vectors of equal magnitude greater than zero, the resultant will always have a greater magnitude. So in general the answer to your question is “No.” The zero case would be considered “trivial.”

Can the direction of two vectors be the same?

Yes, the angle between resultant vector and either of the vectors will be 45 ° but the magnitude of Resultant vector in such a case will be 2 | A → | = 2 | B → | ≠ | A → | = | B → | When direction is same then the magnitude of resultant vector will be double of that of either of the vectors, therefore direction of the two vectors can’t be same.

How do you find the result of two vectors at 120 degrees?

Two vectors at 120 degree produce a vector equal to their magnitude. Let their magnitude be a, Resultant = a = (a 2+a 2+2×a×a×cosθ) = a (2+2cosθ)

Can two vectors have the same sum but different angles?

Yes if the angle between the vectors is 120 degrees. In this situation, the two vectors and their sum (resultant) will form an equilateral triangle. , former Engineer, Data Processing.