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What is the difference between vector addition and algebraic addition?
Wiki User
∙ 12y ago
There is no difference between vector addition and algebraic addition. Algebraic Addition applies to vectors and scalars: [a ,A ] + [b, B] = [a+b, A + B].
Algebraic addition handles the scalars a and b the same as the Vectors A and B
Wiki User
∙ 12y ago
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When is the vector sum not equal in magnitude to the algebraic sum?
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
What is the algebraic definition of a cross product?
Cross product also known as vector product can best be described as a binary operation on two vectors in a three-dimensional space. The created vector is perpendicular to both of the multiplied vectors.
What is the physical significance of null vectors?
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
What is an affine transformation?
An affine transformation is a linear transformation between vector spaces, followed by a translation.
Difference between orthogonal and perpendicular lines?
Orthogonal and perpendicular are essentially the same thing: When two lines, planes, etc. intersect at a right angle, or 90 degrees, they are orthogonal/perpendicular.Orthogonal is simply a term used more commonly for vectors, when they have a scalar/inner/dot product of 0, as:vector u X vector v = (length of vector u) X (length of vector v) X cos @ ,@ being the angle between the two vectors.When the scalar product is 0, that is because @ is 90 degrees, and cos 90 = 0. Therefore, the vectors u and v are orthogonal.
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.
What is the difference between regular math addition and vector addition?
Regular Math Addition: 432+53=485 Vector Addition: if u=<a,b> and v=<c,d> then u+v=<a+c,b+d>
What is the difference between an initial point of a vector and a terminal point?
The difference is the length of the vector.
What is the difference between zero vector and null vector?
They are the same.
What is the difference between vector and algebraic sums?
A vector has both a magnitude and a direction. To add vectors, you graphically put them head-to-tail; or, to do it with math, separate the vector into x and y components, and add the two components separately. Or more than two components, depending on the number of dimensions used.
What is the opposite to vector addition?
the opposite to vector addition is vector subtraction.
How do you find the vector sum and vector difference of the two vector quantities?
Element by element. That is: Sum all the first elements to get the first element of the result; Sum all the second elements to get the second element of the result...The vector sum is obtained by adding the two quantities. The vector difference is obtained by subtracting one from the other. Hint: 'sum' always means addition is involved, 'difference' always means subtraction is involved.* * * * *That is the algebraic answer. There is also a geometric answer.To sum vectors a and b, draw vector a. From the tip of vector a, draw vector b. Then a + b is the vector from the base of a to the tip of b. To calculate a - b, instead of drawing b,draw the vector -b, which is a vector of the same magnitude as b but going in the opposite direction.
What is the reverse process of vectors addition?
reverse process of vector addition is vector resolution.
Main difference between Array List and Vector in Java?
List is not sync'd as a vector is.
What is the difference between scalar and vector drives?
a vector drive is vertical, a scalar is horizontal.
What is the difference between a vector and a parasite?
vector is usually is the arthropodes carrying the parasites such as mosquitoes.
What has the author Valery Alexeev written?
Valery Alexeev has written: 'Compact moduli spaces and vector bundles' -- subject(s): Vector bundles, Moduli theory, Algebraic geometry -- Curves -- Vector bundles on curves and their moduli, Congresses, Algebraic geometry -- Curves -- Families, moduli (algebraic), Algebraic geometry -- Families, fibrations -- Fine and coarse moduli spaces, Algebraic geometry -- Surfaces and higher-dimensional varieties -- Families, moduli, classification: algebraic theory, Algebraic geometry -- Families, fibrations -- Algebraic moduli problems, moduli of vector bundles
