When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
Yes, you can multiply a vector by a scalar. The scalar will multiply each component of the vector by the same value, resulting in a new vector with each component scaled by that value.
A scalar is a single quantity that is represented by just a magnitude, such as temperature or speed. A vector is a quantity that has both magnitude and direction, like force or velocity. Scalars can be thought of as a subset of vectors with zero direction component.
The product of scalar and vector quantity is scalar.
No, a scalar quantity cannot be the product of two vector quantities. Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. When two vectors are multiplied, the result is a vector, not a scalar.
A scalar times a vector is a vector.
vector
The five different forces are the derivatives of the Quaternion Energy E=Es + Ev=[Es,Ev] where Es is the Scalar Energy and Ev the vector Energy. Force = XE = [d/dr,Del][Es,Ev] = [dEs/dr -Del . Ev, dEv/dr + Del Es + DelxEv] dEs/dr the scalar derivative of the Scalar Energy, the Scalar Centripetal Force Del.Ev the Divergence of the Vector Energy, the Scalar Centrifugal Force dEv/dr the scalar derivative of the Vector Energy, the Vector Tangent Force Del Es the vector Derivative of the Scalar Energy, the Vector Gradient Force DelxEv the Curl of the Vector Energy, the Vector Circulation Force.
Gravity is a force, and forces have magnitude and direction; hence, it is a vector.
Scalar
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
An earthquake is neither a scalar nor a vector. It is an event.
vector
vector
Yes, you can multiply a vector by a scalar. The scalar will multiply each component of the vector by the same value, resulting in a new vector with each component scaled by that value.
Torque is a vector quantity because it has both magnitude (how strong the force is) and direction (the axis about which the force is applied).
Scalar