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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:
How are vectors used in playing billiards or pool?
There are no vectors used in playing billiards or pool. The use of vectors oversimplifies the action of the balls in play and simply does not apply to the game. The physics of cue ball action relies more on rotational momentum than simple vectors, and ball to rail interaction is a complex mathematical problem that cannot be determined by simple 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.
Is it possible to add a vector quantity?
No, you cannot directly add two vector quantities unless they are of the same type (e.g., both displacement vectors or velocity vectors). Otherwise, vector addition requires breaking down the vectors into their components and adding corresponding components together.
Can the resultant or two vectors of the same magnitude be equal to the magnitude of either of the vectors?
No, the resultant of two vectors of the same magnitude cannot be equal to the magnitude of either of the vectors. The magnitude of the resultant of two vectors is given by the formula: magnitude = √(A^2 + B^2 + 2ABcosθ), where A and B are the magnitudes of the vectors and θ is the angle between them.
Can the resultant of 3 vectors be 0?
Yes. A simple case would be a vector 2a acting at a point in one direction and two vectors, each of magnitude a, acting at the same point in the opposite direction.
What is the correct desplacment of the following vectors 4km south 2km north 5km south 5 km north?
4-2+5-5 = 2 km south. It's simple addition, keeping track of the plus and minus signs (south is plus, north is minus).
How do you add two or more vectors?
Vectors are represented by arrows. They represent something that has magnitude, expressed by the length of the arrow, and direction shown by the direction the arrow head points away from the reference system. Vector addition is really quite simple. Make sure all vectors of interest use the same units of magnitude. Pick a vector and place the tail of the arrow on the intersection of the reference system. Do not change it's direction or magnitude. Take the next vector you wish to add and place the tail at the tip of the arrow of the first vector. Again, do not change either direction or magnitude. Do this with all vectors you wish to add. Remember, NEVER CHANGE MAGNITUDE OR DIRECTION. When you draw a new vector from the origin of the reference to the tip of the last vector in the chain of vectors being added, the new vector is the sum of all the vectors in the chain.
What is 11111111111111111111111111111111111111111111111111111111111111111111111111111 plus 95797497855754976349076390872087776342211107649694668465857?
It is a simple addition sum.
What are 5 differences of vectors and bitmaps?
Vectors are composed of mathematical formulas to define shapes and objects, while bitmaps use a grid of pixels to represent images. Vectors are resolution-independent and can be scaled without loss of quality, whereas bitmaps can lose quality when scaled. Vectors are typically smaller in file size compared to bitmaps. Vectors are best for simple graphics and illustrations, while bitmaps are better for complex images with fine details. Vectors can be edited easily by manipulating anchor points and paths, while editing bitmaps may involve altering individual pixels.
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vectors?
Magnitude? Yes. Simple answer: think of it as a triangle. Can a triangle have three sides of the same length? Yes. Long answer: there really isn't a long answer. To get the resultant of two vectors, one would add up the components of each vector. While it is impossible to add two vectors of the same magnitude and derive a resultant of the same magnitude AND DIRECTION as one of the vectors, one need only to create a directional difference of exactly 60 degrees between the first two vectors to result in a resultant of like magnitude. Math really is the most perfect language. Vectors are to triangles what optics are to to the study of conics!
Can resultant of three vectors be zero?
Absolutely.A very simple example: 10 pounds north, 6 pounds south, 4 pounds south.How about the resultant of 100 vectors being equal to zero, as in a tug-of-war with50 guys on each side !
