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Can two vectors having same magnitude combine together can give zero resultant?
Yes, if they are pointing in opposite directions (separated by 180°).
Are two vectors having equal magnitude?
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.
Can two vectors having different magnitude be compined to give a zero resultant can three vector?
Two vectors, no; three vectors yes.
Vectors having same units but different directions can be added by rules of simple arithmetic?
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).
What is an infinite numberof points extending in opposite directions that has only one dimension?
An infinite number of points extending in opposite directions with only one dimension describes a line. In geometry, a line is defined as a straight, one-dimensional figure that has no thickness and extends infinitely in both directions. It is characterized by having length but no width or depth, making it purely one-dimensional. Each point on the line represents a unique location along its infinite length.
Why the vectors having both forward and reverse orientation?
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.
Can two vectors having same magnitude combine together can give zero resultant?
Yes, if they are pointing in opposite directions (separated by 180°).
Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?
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.
How many minimum no of coplaner vectors having different magnitude can be added to given zero resultant?
If all magnitudes are different, then minimum is three.
Can two vectors having different magnitude be combined to give a vector sum of zero?
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.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
When adding vectors in one dimension what could the position of the head of the arrow represent?
When adding vectors in one dimension, the position of the head of the arrow represents the final displacement or position based on the individual vector components. It shows the combined effect of the vectors acting in the same direction or opposite directions.
Are two vectors having equal magnitude?
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.
Two vectors have unequel magnitudes can their sum be zero?
No. Best case scenario is that they are pointed directly opposite one another, and that is insufficient to cancel by definition of having different magnitudes.
Can two vectors having different magnitude be compined to give a zero resultant can three vector?
Two vectors, no; three vectors yes.
What is an equivalent vector?
Two vectors having same magnitude but different direction are called equivalent vectors.
What is the minimum number of vectors having different planes which can be added to give zero resultant?
you'll need at least three. Think of them as being connected. To have a zero resultant, putting the vectors together head to tail should form a closed shape. The first vector can be in any direction. The second vector starts where the first ended, and extends in a different plane. The last vector starts from where the second ended and extends to the beginning of the first vector. The three end up making a triangle, which gives you a zero resultant
