0
Still curious? Ask our experts.
Chat with our AI personalities
Jordan
Professor
LaoAdd your answer:
Earn +20 pts
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.
When does the product of 2 integers equal zero?
When one or both of the integers is/are zero.a*b=0 if a=0, b=0, or both a and b are equal to 0. In other words, if one or both integers are zero.
For real numbers a and b when is the equation a plus b equals a-b true?
a + b = a - bSubtract a from each side:+ b = - bThe only way that 'b' can equal its own negative is if b=0.So (a + b) can equal (a - b) only if b=0.(It doesn't matter what 'a' is.)
If a divides b and b divides a then a is equal to b?
If a divides b and b divides a then either a is equal to b or a is equal to -b. Additional note: if a divides b, there exist a p such that ap=b. and if b divides a, there exist a q such that a=bq. then ap=(bq)p=b => b(1-pq)=0 => pq=1 since b!=0 => p=q=1 or p=q=-1 => a=b or a=-b
Properties of addition?
If 'a', 'b' and 'c' are any three numbers, then the properties of addition are:* Associative: the value of a + (b + c) is the same as (a + b) + c;* Additive identity: there exists zero (0) such that a + 0 = a;* Additive inverse: for every number a there is an additive inverse, denoted by (-a), such that a + (-a) = (-a) + a = 0;* Commutative: the value of a + b is the same as b + a;* Closed: the value of a + b is another number in the original set of a and b, for example, if aand b are both integers, then a + b will also be an integer.
