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The word 'vector' is from Latin, and means 'to carry'.
lenpollock
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∙ 12y agoDetect the crocadial
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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.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Two vectors: no. Three vectors: yes.
When are magnitudes of two vectors added?
when the vectors have the same direction
Can the sum of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
only if the vectors have the same direction
Can the resultant of two equal vectors be of same magnitude as the two vectors?
Yes. This will happen if the two vectors are at an angle of 120 degrees.
How do vectors apply to real life?
Any measurement in which the direction is relevant requires vectors.
What are the real world uses of vectors?
Real world uses for vectors would be plotting courses for boats and planning the construction of roads
What are unit vectors used for in real life?
In real life unit vectors are used for directions, e.g east, north and up(zenith). The unit vector specifies the direction. Gyroscopes maintain a direction and keep things level. Whenever and where ever location is important, unit vectors are a part of real life. Whenever directions are important in your real life, then unit vectors are important. If everything was confined to move along a straight line, then unit vectors would not be important. If you can move in a plane, then unit vectors are important. Moving in space, unit vectors are more important. cars, ships and planes all move in space. Controlling and tracking these all involve unit vectors.
When do we use vector algebra in daily life?
In real life unit vectors are used for directions, e.g east, north and up. The unit vector specifies the direction. Gyroscopes maintain a direction and keep things level. Whenever and where ever location is important, unit vectors are a part of real life. Whenever directions are important in your real life, then unit vectors are important. If everything was confined to move along a straight line, then unit vectors would not be important. If you can move in a plane, then unit vectors are important. Moving in space, unit vectors are more important. cars, ships and planes all move in space. Controlling and tracking these all involve unit vectors.
What are some real world examples of mathematical vectors?
Forces, velocities, accelerations.
Real life example of two perpendicular vectors?
Dropping a bullet and shooting a bullet at the same time. They will touch the ground at the same time because they are perpendicular vectors.
Why are some vectors pseudo vectors and some real vectors?
Answer: There are no "pseudo vectors" there are pseudo "rules". For example the right hand rule for vector multiplication. If you slip in the left hand rule then the vector becomes a pseudo vector under the right hand rule. Answer: A pseudo vector is one that changes direction when it is reflected. This affects all vectors that represent rotations, as well as, in general, vectors that are the result of a cross product.
How resultant of two vectors become same if you change there orders?
That follows directly from the addition of vectors by components - here you are adding real numbers, so the commutative law applies.
What name is given to animals such as the mosquito that carry pathogens?
vectors
What is a real-world example of using vectors?
An airplane flying in a specific direction at a specific speed.
Does a four dimensional world exist and what is the 4th dimension?
The 4th dimension is a reality, not man made. The 4th dimension is not like the other three dimensions. The mathematics and physics of the dimensions are not understood by most people. The first three dimensions are vector dimensions and describe the three dimensions of space say , x,y and z. These dimensions were the first dimensions discovered and they are thought to be real dimensions. Real dimensions are like real numbers, their square is a positive number. The truth is the first three dimensions are vectors and are geometrical dimensions. Vectors have relationships like parallel and perpendicular. so v1 and v2 can be parallel to each other or perpendicular to each other. The relationahip betweenvectors involves the angle between them so v1.v2 = v1v2cos(a) and if cos(a) is zero the angle is an odd multiple of 90 degrees, perpendicular. The cos(a) is unity if the angle is an even multiple of 90 degrees. Minus unity means the vectors are Parallel, pointing in the same directon. Plus Unity means the vectors are anti-parallel, the vectors are pointing in opposite directions. Everyone is roughly familiar with the vector dimensions, except that scientists and mathematicians want the square of vectors to be positive not negative. This is a mathematical defect that ruins vectors. The 4th dimension is not a vector it is a plain old real number sometimes called a scalar number. Sclars or eeal have positive squares. Scalars are not vectors. Scalars are critically important in science and mathematics. The reason is best understood when you ask the question "What happens to the vectors when you multiply two parallel two vectors v1 and v2? The answer is, the product of two parallel vectors is not a vector! This is like smashing two oranges together and the oranges disappear and turn into a banana. This is called lack of Closure in mathematics. Closure says that If A and B are vectors, then AB is a vector. You could say Human's beget Humans and fish beget fishes. This is the idea of Closure. Vectors don't have Closure. In Physics they would say that vectors transmuted into a real number. Physicists would create a table of "particles Realtionships". Two reals produce a real; a real and a vector produce a vector; two vectors produce a negative real if parallel or a positive real if anti-parallel; two vectors produce a vector if perpendicular; and ususally two vectors produce a real and a vector if not parallel or perpendicular! This could open up a whole new fiedl of "particle Physics". The simple answer is the 4th dimension! The 4th dimension is a real dimension. This real dimension satisfies Closure. Two vectors produce a real and this is in the 4th real dimension. This dimension saves Closure because now the the elements are called quaternions. A quaternion is the sum of a real and three vectors, thus making four dimensions thus quater, Latin for 4. If A and B are quaternions, then AB is a quaternion. Ths 4th dimesnsion has units like the three space dimensions - meters, r=ct is the fourth dimension where c is the speed of light and t is time. both c and t are real numbers and reals time reals gives reals. The speed of light c is a real number not a vector, thus the veclocity of light is wrong, because velocity denotes a vector not a real. Man did not make the 4th dimension. You could say the 4th dimension was made when God said "Let there be Light!"
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.
