there are two simple methods to add vector.
1. head to tail rule.
2.by rectangular component method.
A scalar quantity added to a vector quantity is a complex quantity. An example is a complex number z = a + ib, a is the scalar and ib is the vector quantity.If the vector quantity is 3 dimensional, ib + jc + kd, then the scalar and vector forms a quaternion quantity.
A vector quantity.
Velocity is a vector quantity.
You can add a vector quantity to a scalar quantity. A complex number is just such an addition, z= a + bi. the first term 'a' is a scalar and the second term 'bi' is a vector quantity. The complex quantity z is the sum of a scalar and a vector. z is a different quantity than 'a' or 'bi', it contains both a scalar and a vector z=(a,bi). The Universe is made up of such additions called Quaternions: Q= a + bi + cj + kd , 'a' is a scalar and i, j and k are vectors making bi + cj +dk a three dimensional vector. Quaternions are four dimensional, one scalar dimension and three vector dimensions. Complex Numbers, z, a 2 dimensional number, are a subset of Quaternions.
Momentum is a vector quantity. We know that momentum is the product of mass and velocity, and velocity has direction. That makes velocity a vector quantity. And the product of a scalar quantity and a vector quantity is a vector quantity.
No.
scalar cannot be added to a vector quantity
It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.
A scalar quantity added to a vector quantity is a complex quantity. An example is a complex number z = a + ib, a is the scalar and ib is the vector quantity.If the vector quantity is 3 dimensional, ib + jc + kd, then the scalar and vector forms a quaternion quantity.
A vector quantity.
displacement is a vector quantity
If a direction is relevant, then it is NOT a scalar, but a vector.
yes, momentum is a vector quantity.
Velocity is a vector quantity.
True. A vector quantity has both magnitude and direction, while a scalar quantity only has magnitude.
You can add a vector quantity to a scalar quantity. A complex number is just such an addition, z= a + bi. the first term 'a' is a scalar and the second term 'bi' is a vector quantity. The complex quantity z is the sum of a scalar and a vector. z is a different quantity than 'a' or 'bi', it contains both a scalar and a vector z=(a,bi). The Universe is made up of such additions called Quaternions: Q= a + bi + cj + kd , 'a' is a scalar and i, j and k are vectors making bi + cj +dk a three dimensional vector. Quaternions are four dimensional, one scalar dimension and three vector dimensions. Complex Numbers, z, a 2 dimensional number, are a subset of Quaternions.
A vector