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The product of scalar and vector quantity is scalar.
The Law of Numbers?There are two kinds of numbers scalars and vectors. The law of multiplication of Numbers says, the product of a scalar and a vector is a vector.In 4D derivative is X = [d/dr, GRAD] = [d/dr, Id/dx + Jd/dy + kd/dz]GRAD is a vector.The 4D derivative of a number [b,B], where b is the scalar and B is the vector, is;X[b, B] = [d/dr, GRAD] [b.B] = [db/dr - GRAD.B, dB/dr + GRAD b + GRADxB]The general rules of numbers are:1.Scalar by scalar products are scalars e.g. db/dr2. Scalar by vectors and vector by scalars are vectors, e,g, dB/dr and GRAD b3. Vector Dot (.) Products are scalars ,e.g. GRAD.B4. Vector Cross (x) Products are vectors, e.g. GRADxB.
A scalar is a real quantity like distance and a vector is a vector quantity like displacement.Displacement is the product of a distance and a direction,Displacement =DistancexDirection.
Yes, vectors must have the direction. Without direction, it is simply a scalar quantity.
a vector drive is vertical, a scalar is horizontal.
Scalar product of two vectors is a scalar as it involves only the magnitude of the two vectors multiplied by the cosine of the angle between the vectors.
Scalars are quantities that have magnitude only; they are independent of direction. Vectors have both magnitude and direction. vectors need bold letters to show them.
The product of scalar and vector quantity is scalar.
No.
The term collinear is used to describe vectors which are scalar multiples of one another (they are parallel; can have different magnitudes in the same or opposite direction). The term coplanar is used to describe vectors in at least 3-space. Coplanar vectors are three or more vectors that lie in the same plane (any 2-D flat surface).
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.
The Law of Numbers?There are two kinds of numbers scalars and vectors. The law of multiplication of Numbers says, the product of a scalar and a vector is a vector.In 4D derivative is X = [d/dr, GRAD] = [d/dr, Id/dx + Jd/dy + kd/dz]GRAD is a vector.The 4D derivative of a number [b,B], where b is the scalar and B is the vector, is;X[b, B] = [d/dr, GRAD] [b.B] = [db/dr - GRAD.B, dB/dr + GRAD b + GRADxB]The general rules of numbers are:1.Scalar by scalar products are scalars e.g. db/dr2. Scalar by vectors and vector by scalars are vectors, e,g, dB/dr and GRAD b3. Vector Dot (.) Products are scalars ,e.g. GRAD.B4. Vector Cross (x) Products are vectors, e.g. GRADxB.
there is no difference
A scalar is simply a real number (sometimes complex numbers are used). A vector has both a magnitude (a number), and a direction. Examples: Mass is a scalar; a force is a vector (you may get different results if you pull in different directions).
Scalar product = (magnitude of 'A') times (magnitude of 'B') times (cosine of the angle between 'A' and 'B')
It is neither a scalar or a vector? Scalar and vectors are used to describe quantities, for example scalars include distance and mass, while vectors include weight and velocity. We do not say that a situation is a scalar or a vector.
A scalar is a real quantity like distance and a vector is a vector quantity like displacement.Displacement is the product of a distance and a direction,Displacement =DistancexDirection.