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The product of two vectors can be done in two different ways. The result of one way
is another vector. The result of the other way is a scalar ... that's why that method
is called the "scalar product".
The way it's done is
(magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).
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∙ 12y ago
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What is the product of two vector quantities?
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
What is the value of scalar product of two vectors A and B where value of vector A and B is not zero and vector product of two vectors A and B is not zero?
Scalar product = (magnitude of 'A') times (magnitude of 'B') times (cosine of the angle between 'A' and 'B')
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 the use of dot product in Physics and explain?
Dot Products in Physics denote scalar results fmo vector products, e.g Work = F.D = FDCos(FD) a scalar result from the dot product of two vectors, F Force and D Displacement.
What is the product of two vector quantities?
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
Is it possible to multiply a vector quantity to a scalar quantity?
The product of scalar and vector quantity is scalar.
How torque is vector and work is scalar quantity?
Torque is got by the cross product of two vectors namely force vector and perpendicular radius vector Tau (torque) = r X F But work is got by the scalar product of force vector and displacement vector Hence W = F . S
Why the work is scalar quantity?
Work is the product of a force and a displacement. Both of those are vectors. There are two ways to multiply vectors. One of them produces another vector, the other produces a scalar. The calculation for 'work' uses the scalar product. The procedure is: (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).
Is weight scalar or vector quantity?
scalar, produced by the scalar product of two vector quantities ... Force · Distance
Why does the work is scalar quantity?
Work is the product of a force and a displacement. Both of those are vectors. There are two ways to multiply vectors. One of them produces another vector, the other produces a scalar. The calculation for 'work' uses the scalar product. The procedure is: (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).
Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
Why work is scalar quantity where as force and displacement are vector quantity?
Work is the product of a force a nd a displacement. Both of those are vectors. There are two ways to multiply vectors. One of them produces another vector, the other produces a scalar. The calculation for 'work' uses the scalar product. The procedure is: (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them). Answer2: Work is a scalar because Physics has a major defect in defining energy as a scalar. Nature defines energy as a Quaternion, the sum of a scalar and a vector. Work is a Quaternion, W = FD= -F.D + FxD , -F.D is a scalar and FxD is a vector. Physics defines Work as -FDcos(FD) and defines FxD = FDsin(FD) as Torque. When Physics understands Nature and Quaternions, then both F.D and FXD will both be recognized as energy, scalar energy and vector energy.
What is the product of vector and scalar?
The scalar product of two perpendicular vectors is zero.In classical mechanics we define the scalar product between two vector a and b as:a · b = |a| |b| cos(alpha)where |a| is the modulus of vector a and alpha is the angle between vectors a and b.If two vectors are perpendicular, alpha equals 90º (or PI/2 rad) and cosine of alpha is, consequently, zero.So finally a · b = 0.
Is power vector or scalar?
Power is the time derivative of energy, E. Energy can be scalar or vector. Thus power can be scalar or vector. Energy is a quaternion and consists of a scalar or real part Er and a vector part Ev. Energy E=Er + Ev, for example E= FR = -F.R + FxR = -FRCos(x) + FRsin(x). The real part is a scalar called "Energy" and the vector part is called "Torque" but has the same units Joules. Energy is defined by the units. P=dE/dt = d(Er + Ev)/dt = dEr/dt + dEv/dt = Pr + Pv. Power can be a scalar or a vector or both.
What is the value of scalar product of two vectors A and B where value of vector A and B is not zero and vector product of two vectors A and B is not zero?
Scalar product = (magnitude of 'A') times (magnitude of 'B') times (cosine of the angle between 'A' and 'B')
What is scalar vector?
Vector is NOT a scalar. The two (vector and scalar) are different things. A vector is a quantity (measurement) in which a direction is important. A scalar is a quantity in which a direction is NOT important.
