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When are vectors said to be perpendicular?
Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.
When are two vectors identical?
Two vectors are identical when all their components are identical. An alternative definition, for vectors used in physics, is that they are identical when both the magnitude and the direction are identical.
Can the directions of the sum of two two vectors be equal to the directions of difference of two vectors?
Yes.
Applications of vectors?
vectors help in determining the direction . they give the magnitude of the number as well as the direction of the quantity
What is an equivalent vector?
Two vectors having same magnitude but different direction are called equivalent vectors.
What is the direction of the cross product between vectors a and b?
The direction of the cross product between vectors a and b is perpendicular to both a and b, following the right-hand rule.
How do you add two null vectors by following vector laws of addition?
The sum of two null vectors is a null vector. And since a direction is not relevant for a null vector, the resultant has no direction either.
What is the sum of to vectors?
A variety of mathematical operations can be performed with and upon vectors. One such operation is the addition of vectors. Two vectors can be added together to determine the result (or resultant). This process of adding two or more vectors has already been discussed in an earlier unit. Recall in our discussion of Newton's laws of motion, that the net force experienced by an object was determined by computing the vector sum of all the individual forces acting upon that object. That is the net force was the result (or resultant) of adding up all the force vectors. During that unit, the rules for summing vectors (such as force vectors) were kept relatively simple. Observe the following summations of two force vectors:
When adding vectors in one dimension which the following could the length of the arrows represent?
The length of the arrows could represent either the magnitude or the direction of the vectors. If the length represents magnitude, longer arrows would represent larger magnitudes of the vectors. If the length represents direction, the arrows would be all the same length, but pointing in different directions to represent different vectors.
What are the three different kinds of vectors?
The three types of vectors are position vectors, displacement vectors, and force vectors. Position vectors represent the position of a point in space relative to a reference point, displacement vectors represent the change in position of an object, and force vectors represent the interaction between objects that can cause acceleration.
What is arthropod vectors?
Vectors of the arthropod.
Can velocity vectors be combined with force vectors?
No
What are the coplanar vectors in mathematics?
Vectors that sum to zero are coplanar and coplanar vectors sum to zero.
Is it possible to combine two vectors of different magnitude to give a zero resultant if not can three vectors be combine?
Two vectors: no. Three vectors: yes.
When are magnitudes of two vectors added?
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.
Can the sum of two vectors be equal to either of the vectors explain?
No, the sum of two vectors cannot be equal to either of the vectors individually. In vector addition, the resultant vector is determined by the magnitude and direction of the individual vectors. The sum of two vectors represents the combination of their effects, resulting in a new vector with different properties than the original vectors.
What is the difference between vectors and non-vectors?
Coplanar :The vectors are in the same plane.Non coplanar :The vectors are not in the same plane.
