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Why is it impossible to add a scalar to a vector?
It is not impossible to add a scalar to a vector. e.g. e^ix = cos(x) + isin(x) when x is 0 the answer is a scalar, when x=90 degrees the answer is a vector, when x is not a multiple of 90 degrees the answer is the sum of a scalar and a vector. So it is only impossible to add a scalar to a vector when x is a multiple of 90 degrees, all other angles add a scalar to a vector.
Can Scalar and vector quantities be added by the same method?
No, scalar can be added together directly, whereas vectors can only add their separate components together.
Why vector quantities cannot be added and subtracted like scalar quantities?
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
Is the number of leaves on a tree scalar or vector?
scalar lol
Why can't you add a vector quantity to a scalar 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.
Can you add vector with scalar?
No.
Why is it impossible to add a scalar to a vector?
It is not impossible to add a scalar to a vector. e.g. e^ix = cos(x) + isin(x) when x is 0 the answer is a scalar, when x=90 degrees the answer is a vector, when x is not a multiple of 90 degrees the answer is the sum of a scalar and a vector. So it is only impossible to add a scalar to a vector when x is a multiple of 90 degrees, all other angles add a scalar to a vector.
Can Scalar and vector quantities be added by the same method?
No, scalar can be added together directly, whereas vectors can only add their separate components together.
Can you add zero to a null vector?
scalar cannot be added to a vector quantity
Is it possible to add a scalar to a vector?
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.
Why vector quantities cannot be added and subtracted like scalar quantities?
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
Is it possible the add a vector and scalar?
no!!!only scalars and scalars and only vectors and vectors can be added.
Is the number of leaves on a tree scalar or vector?
scalar lol
Why can't you add a vector quantity to a scalar 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.
Is a electric potential scalar or vector?
Electric potential is a scalar.
Is inertia a vector or scalar?
scalar
Is time a scalar or a vector?
Scalar
