Without the specific details of the graph or the black vectors mentioned, I can't provide a precise description of Allison's walk. However, if the graph illustrates her path in terms of direction and distance, it could be described in terms of the overall distance covered, any changes in elevation, and the direction of her movements (e.g., north, east). If there are specific segments in her walk, such as straight paths versus turns, these could also be highlighted.
That follows directly from the addition of vectors by components - here you are adding real numbers, so the commutative law applies.
Scalar product of two vectors is a scalar as it involves only the magnitude of the two vectors multiplied by the cosine of the angle between the vectors.
The vector goes from (1,2) to (-3,1). :3
Resultant vector.
The direction of the cross product between vectors a and b is perpendicular to both a and b, following the right-hand rule.
The addition of vectors involves adding corresponding components together. For example, to add two vectors A = (a1, a2) and B = (b1, b2), the result would be C = (a1 + b1, a2 + b2). The addition of vectors follows the commutative property, meaning A + B = B + A.
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.
simply: No, Velocity vectors are different to force vectors. One measures velocity and one measures force so you can not simply add/subtract/multiply/divide them together and get something meaningful.
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:
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.
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.
Vectors of the arthropod.