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Because Algebra said so

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Q: Why the addition of vector A and B is equal to 0?
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What can you say about two vectors if vector A vector B 0?

Depends on the situation. Vector A x Vector B= 0 when the sine of the angle between them is 0 Vector A . Vector B= 0 when the cosine of the angle between them is 0 Vector A + Vector B= 0 when Vectors A and B have equal magnitude but opposite direction.


Is it possible for vector A plus vector B to equal vector A - vector B?

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).


Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?

The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.


What is the difference between vector addition and algebraic 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


Does vector subtraction commutes?

Vector addition is basically similar, with respect to many of its properties, to the addition of real numbers.A + B = B + ASubtraction is the inverse of addition: A - B = A + (-B), where (-B) is the opposite vector to (B).A - B is not usually the same as B - A. Therefore, it is not commutative.However, if you convert it to an addition, you can apply the commutative law: A + (-B) = (-B) + A.


When does vector c equal a plus b?

If the vectors a and b are arranged so that the head of a (the arrow bit) is at the tail of b, then c must be from the tail of a to the head of b. The vectors a and b can be swapped since vector addition is commutative.


What is the angle between vector a and vector b when mode of vector a plus vector b is equal to mode of vector a minus vector b?

90 degrees


If vector c equals vector a plus vector b under what circumstances does c equal a minus b?

When b is zero.


Suppose vector equation A plus B equals 0.how does the magnitude of B compare to that of A?

B could be either greater than, lesser than or equal to A. 7 +(-7) = 0 (-7) = 7 = 0 0 + 0 = 0


What is the example of head to tail rule?

In addition of vector when vector A whose head is joined to the tail of the vector B and then the tail of the vector A is linked with the tail of the resultant vector and the head of the vector B is joined with the head of the resultant vector..... it means the addition of vectors are also defined the head to tail rule..


What is the difference between regular math addition and vector addition?

Regular Math Addition: 432+53=485 Vector Addition: if u=<a,b> and v=<c,d> then u+v=<a+c,b+d>


Two or more velocities can be combined by?

Velocity is a vector quantity(it has a direction). Simply use the vector adding method to combine velocities.