Arbitrary direction means that direction which is taken without any reason. … Therefore simply a quantity with zero magnitude can have arbitrary direction.
Beside this, can replace any vector in an arbitrary direction?
Any vector in an arbitrary direction can always be replace by two (or three) … mutually perpendicular vectors which have the original vectors as their resultant.
Also, what does arbitrary mean in mathematics?
Arbitrary means “undetermined; not assigned a specific value.” For example, the statement x+x=2x is true for arbitrary values of x∈R, but the statement x+x=2 is not true for arbitrary values of x (only for a specific value: x=1).
What does arbitrary mean in physics?
Arbitrary mean the unknown path that cannot be calculated or exactly known. The arbitrary motion is used to denote growing or decaying oscillations with a certain frequency.
What does the word arbitrary?
1 : made, chosen, or acting without thought of what is fair or right arbitrary decisions an arbitrary ruler. 2 : seeming to have been made or chosen by chance We were given an arbitrary list of books to choose from. Other Words from arbitrary. arbitrarily \ ˌär-bə-ˈtrer-ə-lē \ adverb.
What is a arbitrary number?
Arbitrary Number. A number which could be any number it is defined to be but for which no specific value is chosen. It is often used in proofs since it can represent any number but does actually have the value of any number so that the proof applies to more than one situation.
What is an arbitrary matrix?
An arbitrary matrix is a matrix that can have any entries. An arbitrary 2×2 matrix would be: [a,b] [c,d] Where a,b,c,d are all elements of some set (usually the real numbers.)
What is an arbitrary motion?
The term arbitrary motion is used to denote growing or decaying oscillations with a certain frequency.
What is an arbitrary variable?
: a symbol to which various values may be assigned but which remains unaffected by the changes in the values of the variables of the equation.
What is arbitrary angle?
An arbitrary angle is of an unspecified and insignificant size. It is an angle whose size does not matter for the purposes of the particular question being considered.
What is arbitrary direction of null vector?
The null vector has no direction. As in, its direction is not defined (not even arbitrary). It’s a simple proof that the null vector is orthogonal to every vector in the corresponding vector space, as the dot product for every .
What is arbitrary shape?
An arbitrary shape. The word arbitrary in this context means any as in: not a specified, or specific, kind of shape.
What is arbitrary value in physics?
Arbitrary means “undetermined; not assigned a specific value.” For example, the statement x+x=2x is true for arbitrary values of x∈R, but the statement x+x=2 is not true for arbitrary values of x (only for a specific value: x=1).
What is the synonym of arbitrary?
arbitrary
- capricious.
- discretionary.
- erratic.
- frivolous.
- inconsistent.
- irrational.
- irresponsible.
- random.