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Vector multiplication is one of several techniques for the multiplication of two vectors with themselves. A vector has a magnitude and direction.

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โˆ™ 2014-06-27 21:59:43
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Q: What is vector multiplication?
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Why is momentum a vector?

Momentum is defined as the product of a particle's mass and velocity. Mass is a scalar and velocity is a vector, the multiplication of a scalar and vector always results in a 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?

Multiplication of a vector by a scalar?

When a scalar quantity(if it has positive magnitude) is multiplies by a vector quantity the product is another vector quantity with the magnitude as the product of two vectors and the direction and dimensions same as the multiplied vector quantity e.g. MOMENTUM

What is momentum of an object?

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.

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).

Vector division is not possible why?

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.

Is power a vector quantity?

Work is a scalar quantity. For a constant force applied in a constant direction, it is equal to the dot product (also known as the inner product or the scalar product) of the force vector with the displacement vector. The result of taking the dot product is a scalar, not a vector. (That is, the multiplication sign you have in your definition of work is not an "ordinary" multiplication sign. "Ordinary" multiplication is not an operation that can be applied to two vectors.)For a force that is not constant, or that is applied along a changing direction, the work is defined as the integral of the dot product (F(r) * dr), where dr is the infinitesimal displacement vector. The result is again a scalar quantity.Because both work and time are scalar quantites, their quotient (power) is also a scalar.

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 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 are the vector and scalar fields?

In mathematics, a field is a set with certain operators (such as addition and multiplication) defined on it and where the members of the set have certain properties. In a vector field, each member of this set has a value AND a direction associated with it. In a scalar field, there is only vaue but no direction.

Is screw force the same as screw torque?

No, it is not. In basic physics, torque is equal to force multipled (cross multiplication in vector terms) by distance (the moment arm).

Dot and cross product between 3D and 4D?

here are the possible answers: A) A tridimensional vector B) A 4D vector C) A 5D vector D) An scalar number E) It is undefined

Why do you define a null vector although it has no magnitude and it may have an arbitrary direction?

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.

Can a vector be represented in terms of unit vector?

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.

Why are some vectors pseudo vectors and some real vectors?

Answer: There are no "pseudo vectors" there are pseudo "rules". For example the right hand rule for vector multiplication. If you slip in the left hand rule then the vector becomes a pseudo vector under the right hand rule. Answer: A pseudo vector is one that changes direction when it is reflected. This affects all vectors that represent rotations, as well as, in general, vectors that are the result of a cross product.

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 vector product of a vector and scalar quantities?

(vector) times (vector) produces either a vector or a scalar, depending on whether the vector product or scalar product is performed. (vector) times (scalar) produces a new vector.

What is it called when a scalar and a vector are multiplied together?

A Vector. A scalar times a vector is a vector.

What is the angle between vector a and vector b when mode of vector a plus vector b is equal to mode of vector a minus vector b?

90 degrees

What is the sum of two vectors A.addition vector B.distance vector C.resultant vector D.displacement vector?

That is usually called the resultant vector.

What is scalar and vector product?

The scalar product of two vectors, A and B, is a number, which is a * b * cos(alpha), where a = |A|; b = |B|; and alpha = the angle between A and B. The vector product of two vectors, A and B, is a vector, which is a * b * sin(alpha) *C, where C is unit vector orthogonal to both A and B and follows the right-hand rule (see the related link). ============================ The scalar AND vector product are the result of the multiplication of two vectors: AB = -A.B + AxB = -|AB|cos(AB) + |AB|sin(AB)UC where UC is the unit vector perpendicular to both A and B.

What is relationship between vector space and vector subspace?

Vector spaces can be formed of vector subspaces.