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If vector B is added to vector A under what circumstances does the resultant vector A plus B have magnitude A plus B. under what circumstances does the resultant vector equals to zero?

if b + a , since a+b equals b + a due to it being commutative . it shud have the same magnitude and direction


What is the value of scalar product of two vectors A and B where value of vector A and B is not zero and vector product of two vectors A and B is not zero?

Scalar product = (magnitude of 'A') times (magnitude of 'B') times (cosine of the angle between 'A' and 'B')


If vector A has a magnitude of 14 meters and vector B has a magnitude of 6 meters Vector C equals A-B The magnitude of C cannot be?

The magnitude of C cannot be >20.


When two nonzero vectors A and B are added and the sum has magnitude 3 it's possible that A equals B equals 3?

The vectors can not be both equal, but they can have the same magnitude of 3, if they are at a 60 degree angle.


What x what equals B?

Any non-zero number y along with B/y will do.


What does a number to the power of zero equal?

Any number to the power '0' equals '1'. Proof ; Let a^(n) = b Then dividing a^(n) / a^(n) = b/b a^(n-n) = b/b a^(0) = 1


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


20-4X5 equals 20XB B equals what?

20-4X5=0 so to make it zero it should be multiplied by 0 hence B=0


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

When b is zero.


What is the product of a X 10b when b equals 0?

Any number multiplied by zero is zero. (10b also means 10 times zero.)


Is A plus B equals 0 what can you say about the components of the two vectors?

If A + B = 0, this means that vector A is equal in magnitude but opposite in direction to vector B. In other words, the two vectors are anti-parallel to each other. This relationship indicates that the components of the two vectors cancel each other out when added together, resulting in a net vector of zero.


The zero product property states that for all real numbers a and b if a times b equals 0 then?

Either a=0 or b=0