Look at how it is done, then decide for yourself whether you consider this similar or not. Vectors are added by components - add the x-components and the y-components separately. The addition of the individual components is exactly the addition of real numbers (assuming the usual vectors used in physics - but more complicated types of "vectors" are also used in math). On the other hand, the magnitude of the sum of two vectors is usually less than the sum of the magnitudes of the vectors - unless they happen to point in exactly the same direction. For example, a vector 4 units in length plus a vector 3 units in length, at right angles, result in a vector 5 units of length, as is easy to deduce from Pythagoras's Law. However, once again, the components are added just like real numbers.
The condition is the two vectors are perpendicular to each other.
It's impossible as the addition of two vectors is commutative i.e. A+B = B+A.For subtraction of two vectors, you have to subtract a vector B from vector A.The subtraction of the vector B from A is equivalent to the addition of (-B) with A, i.e. A-B = A+(-B).
Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.
Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule
Vector addition does not follow the familiar rules of addition as applied to addition of numbers. However, if vectors are resolved into their components, the rules of addition do apply for these components. There is a further advantage when vectors are resolved along orthogonal (mutually perpendicular) directions. A vector has no effect in a direction perpendicular to its own direction.
Yes.
The condition is the two vectors are perpendicular to each other.
That really depends on the type of vectors. Operations on regular vectors in three-dimensional space include addition, subtraction, scalar product, dot product, cross product.
It's impossible as the addition of two vectors is commutative i.e. A+B = B+A.For subtraction of two vectors, you have to subtract a vector B from vector A.The subtraction of the vector B from A is equivalent to the addition of (-B) with A, i.e. A-B = A+(-B).
"addition and subtraction"Resultant velocity refers to the sum of all vectors in an equation. The two math functions that are used to calculate the resultant velocity are addition and subtraction.
Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.
Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule
No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.
Subtraction, division, cross multiplication of vectors, multiplication of matrices, etc.
by vector addition?
There is no difference between vector addition and algebraic addition. Algebraic Addition applies to vectors and scalars: [a ,A ] + [b, B] = [a+b, A + B]. Algebraic addition handles the scalars a and b the same as the Vectors A and B
The additional of scalars (normal numbers), as opposed to the addition of vectors.