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Can any vector be represented by two other vectors that are right angels to each others?
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.
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What is difference in resultant vector and vector resolution?
the difference between resultant vector and resolution of vector is that the addition of two or more vectors can be represented by a single vector which is termed as a resultant vector. And the decomposition of a vector into its components is called resolution of vectors.
How a vector represented?
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.
Displacement and velocity are examples of what?
In math and physics, displacement and velocity are examples of vectors. The definition of a vector is that it is quantity that has both direction and magnitude. A vector is represented by an arrow that shows the direction of the quantity and a length which is the magnitude.
Addition of vector by rectangular components?
Consider two vectors A and B Represented by directionel lines OM and ON respectivelynow add the two vectors by head to tail tail of vector addition now resolve it into rectangular components as shown in figure
Can the sum of two vectors be equal to either of the vectors explain?
No, the sum of two vectors cannot be equal to either of the vectors individually. In vector addition, the resultant vector is determined by the magnitude and direction of the individual vectors. The sum of two vectors represents the combination of their effects, resulting in a new vector with different properties than the original vectors.
What is difference in resultant vector and vector resolution?
the difference between resultant vector and resolution of vector is that the addition of two or more vectors can be represented by a single vector which is termed as a resultant vector. And the decomposition of a vector into its components is called resolution of vectors.
Every vector can be represented as the sum of its?
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.
What is triangle law in vectors?
The triangle law states that if two vectors are represented as two sides of a triangle, then the resultant of the vectors is represented by the third side of the triangle, drawn from the initial point of the first vector to the terminal point of the second vector. It is used to calculate the resultant of two vectors by parallelogram law.
Are vectors represented by arrows?
Yes, vectors are often represented by arrows in mathematics and physics. The arrow's direction indicates the vector's direction, while its length represents the vector's magnitude. This visual representation helps in understanding vector operations and properties.
What are the properties Of basis?
The properties of a basis in a vector space include linear independence, spanning, and the ability to uniquely express any vector in the space as a linear combination of the basis vectors. A basis must consist of a set of vectors that are linearly independent, meaning none of the vectors can be written as a combination of the others. Additionally, the basis must span the vector space, ensuring that every vector in the space can be represented using the basis vectors. Lastly, the number of vectors in a basis is equal to the dimension of the vector space.
How do you represent vectors graphically?
Vectors can be represented graphically using arrows. The length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction in which the vector is pointing. Vectors can also be represented by coordinates in a coordinate system.
How Used to represent vector on a diagram?
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.
How do you represent the 1000000 in vectors?
1000000 is a number and therefore it is a scalar. A scalar cannot be represented as a vector.
How a vector represented?
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.
What is the parallelogram law of vectors?
The parallelogram law of vectors states that if two vectors are represented by the sides of a parallelogram, then the diagonal of the parallelogram passing through the point of intersection of the two vectors represents the resultant vector. This means that the sum of the two vectors is equivalent to the diagonal vector.
What is parallelogram law of vectors?
"If two vector quantities are represented by two adjacent sides or a parallelogram then the diagonal of parallelogram will be equal to the resultant of these two vectors."
How vectors quantities be represented graphically?
They can be represented by a line made with a #2 pencil. The length of the line is made proportional to the magnitude of the vector, and some kind of identifying mark is made on or near one end of the line to show the direction of the vector.
