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What does the x stand for in maths?
At the lower levels it stands for multiplication, at more advanced levels it stands for the cross product of vector multiplication (in three or seven dimensions). The multiplication operator can also be a dot on the line ( . ), a dot above the line ( 𝆴 ), an asterisk ( * ), and probably some other symbols as well.
What is the column vector?
In mathematics a vector is just a one-dimensional series of numbers. If the vector is written horizontally then it is a row vector; if it's written vertically then it's a column vector.Whether a vector is a row or a column becomes significant usually only if it is to figure in multiplication involving a matrix. A matrix of m rows with n columns, M, can multiply a column vector, c, of m rows, on the left but not on the right.That is, one can perform Mv but not vM. The opposite would be true for a row vector, v, with 1 row and m columns.
What is null vector?
NULL VECTOR::::null vector is avector of zero magnitude and arbitrary direction the sum of a vector and its negative vector is a null vector...
What is a unit vector?
It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.
What are vector components?
prrpendicular projections of a vector called component of vector
Why vector divided by scalar is equal to vector?
It helps to understand division as the opposite of multiplication. In this case, v / s = x; a vector divided by a scalar is something unknown. Turn this around, into a multiplication: x times s = v. In other words: What must I multiply by a scalar to get a vector?
Can vector quantity be divided and multiplied?
Vector quantities can be added and subtracted using vector addition, but they cannot be divided like scalar quantities. However, vectors can be multiplied in two ways: by scalar multiplication, where a scalar quantity is multiplied by the vector to change its magnitude, or by vector multiplication, which includes dot product and cross product operations that result in a scalar or vector output.
What is a vector times iteself?
When a vector is multiplied by itself, it is known as the dot product. The result is a scalar quantity, which represents the projection of one vector onto the other. This operation is different from vector multiplication, where the result is a new vector.
What does the cross product represent in vector algebra?
The cross product in vector algebra represents a new vector that is perpendicular to the two original vectors being multiplied. It is used to find the direction of a vector resulting from the multiplication of two vectors.
What is an object's momentum?
It's the mass of a object on its velocity (the velocity is a vector and as result of multiplication of a scalar (mass) on a vector (velocity) you get a vector (momentum). Intuitively, momentum is the property of a body which enables it to resist a force.
Is possession of magnitude and direction sufficient for calling a quantity a vector explain?
No, possession of magnitude and direction alone is not always sufficient for calling a quantity a vector. A vector must also obey the rules of vector addition and scalar multiplication to be considered a true vector in physics and mathematics.
What is different between multiplication and division of vector by a number?
There is no real difference between the two operations. Division by a scalar (a number) is the same as multiplication by its reciprocal. Thus, division by 14 is the same as multiplication by (1/14).
Why vector division is not possible?
In the case of the dot product, you would need to find a vector which, multiplied by another vector, gives a certain real number. This vector is not uniquely defined; several different vectors could be used to give the same result, even if the other vector is specified. For the other two common multiplications defined for vector, the inverse of multiplication, i.e. the division, can be clearly defined.
What is the difference between finding the dot product and using scalar multiplication?
They give us different results. The dot product produces a number, while the scalar multiplication produces a vector.
Why there is a need of a null vector?
It has the role of the identity element - same as, in the case of real numbers, the zero for addition, and the one for multiplication.
What is the -matrix of groups-identity of matrix-inverse matrix-multiplication of matrices?
The eigen values of a matirx are the values L such that Ax = Lxwhere A is a matrix, x is a vector, and L is a constant.The vector x is known as the eigenvector.
What is a mathematical operation?
An operator is a mapping from one vector space to another.
