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
Multiplying or dividing vectors by scalars no more difficult than multiplying/dividing scalars by scalars. In order to do it, one simply divides the magnitude of the vector by the scalar, and doesn't change the direction of the vector. For example:
A vector: 60m/s [West]
Dividing that by 20 gives you 3m/s [West]
An example of division:
A vector: 34m [up]
Multiplying that by 5 gives you 170m [up]
An exception to this is when multiplying or dividing by a negative scalar, in which case the direction is reversed after the operation. For example:
A vector: 3N [45 degrees down from the horizontal, West]
Multiplying that by -10 gives you -30N [45 degrees down from the horizontal, West]
Or, in a more useful from: 30N [45 degrees up from the horizontal, East]
A scalar times a vector yields another vector.
The new vector has the same direction as the original vector and the new magnitude is equal to the product of the old magnitude and the scalar.
(Of course, if the scalar is a negative quantity, we understand that the new vector then points in the opposite direction as the original and the new magnitude is the absolute value of the product of the scalar and the old magnitude.)
In mathematics, the product of a scalar and vector is part of the definition of a vector space.
In physics, vectors satisfy the mathematical rules of a vector space.
A Vector. A scalar times a vector is a vector.
Vectors
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.
Distance is a scalar. But displacement is a vector.
Since you can represent that with a single number, it isn't a vector - just a scalar.
vector
scalar
A positive scalar multiplied by a vector, will only change the vector's magnitude, not the direction. A negative scalar multiplied by the vector will reverse the direction by 180°.
The same as the original vector. The scalar will change the numbers, but not the dimensions.
Angular momentum is a vector quantity. Angular velocity, which is a vector quantity, is multiplied by inertia, which is a scalar quantity.
scalar lol
A scalar times a vector is a vector.
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.
Momentum is a vector quantity because the definition of momentum is that it is an object's mass multiplied by velocity. Velocity is a vector quantity that has direction and the mass is scalar. When you multiply a vector by a scalar, it will result in a vector quantity.
A vector is characterized by having not only a magnitude, but a direction. If a direction is not relevant, the quantity is called a scalar.
current is vector or scalar
scalar direction is a vector quantity
vector