Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
Lenght
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
Velocity.
A vector is represented graphically as an arrow. The direction indicates the direction, the length is proportional to the magnitude of the vector. Note that it is difficult to accurately represent vectors of 3 or more dimensions on a 2-dimensional sheet of paper.
Vectors can be represented on a diagram by drawing an arrow from a reference point (origin) to the final point of the vector. The length of the arrow represents the magnitude of the vector, and the direction of the arrow indicates the direction of the vector in space. Additionally, sometimes vectors are represented by bold letters or with a line segment over the variable symbol.
A characteristic of a correctly drawn vector diagram is that the direction and magnitude of the vectors are accurately represented using appropriate scales. Additionally, the geometric arrangement of the vectors should follow the rules of vector addition or subtraction, depending on the context of the problem.
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
The vector shows the direction and magnitude of motion of an object. The direction is represented by the direction of the vector arrow, and the magnitude is represented by the length of the vector.
A resultant on a vector diagram is drawn by connecting the tail of the first vector to the head of the second vector. Then, the resultant vector is drawn from the tail of the first vector to the head of the second vector. The resultant vector represents the sum or difference of the two original vectors.
Lenght
Every vector can be represented as the sum of its orthogonal components. For example, in a 2D space, any vector can be expressed as the sum of two orthogonal vectors along the x and y axes. In a 3D space, any vector can be represented as the sum of three orthogonal vectors along the x, y, and z axes.
A vector diagram shows direction as well as magnitude
The symbol for a vector is typically represented by an arrow placed above the variable name or by using boldface type. For example, a vector quantity velocity "v" would be represented as a vector v or $\vec{v}$.
The length of a vector arrow represents the magnitude of the vector. It indicates the size or amount of the quantity being represented by the vector.
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
Velocity.