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When two vectors are added and their magnitude is equal to the magnitude of resultan what will be angle in between them?
The angle between two vectors whose magnitudes add up to be equal to the magnitude of the resultant vector will be 120 degrees. This is known as the "120-degree rule" when adding two vectors of equal magnitude to get a resultant of equal magnitude.
Which are those two vectors whose resultant vector is zero?
They are vectors of equal magnitudes in oppositedirections. When you add them, they cancel out each other.
Is it is possible to add three vectors of equal magnitude and get zero?
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
What are the conditions for two vectors to add to zero?
They need equal magnitudes and opposite directions.
What is the least number of non-zero vectors that can be added to give a resultant equal to zero?
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
How can you add vectors?
To add vectors, add their corresponding components together. If the vectors are in 2D, add the x-components together and the y-components together. If they are in 3D, add the x, y, and z-components accordingly. This will result in a new vector representing the sum of the original vectors.
How can you add three vectors of equal magnitude in a plane such as their resultant is zero?
Take any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be zero.
Is it possible to add three vectors of equal-magnitude but different direction to get zero vector?
Yes, it is possible to add three vectors of equal magnitude but different directions to get a zero vector. This occurs when the vectors are arranged in a way that their directions cancel each other out. Mathematically, this can happen when the vectors form a closed triangle or when they are evenly spaced around a circle.
Is direction is important for equal vectors?
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.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
How should two vectors lie so that their resultant is zero?
In order for two vectors to add up to zero:-- their directions must be exactly opposite-- their magnitudes must be exactly equal
When are two vectors said to be equal?
If two vectors are represented by the same magnitude and direction they are said to be equal.
