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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.
The distance from point A to point B on a grid is scalar or vector?
VECTOR
Suppose vector equation A plus B equals 0.how does the magnitude of B compare to that of A?
If vector equation A + B = 0, it means that vector B is equal in magnitude but opposite in direction to vector A. Therefore, the magnitude of vector B is equal to the magnitude of vector A.
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.
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>
If is added to under what conditions does the resultant vector have a magnitude equal to A B?
1. When the two vectors are parlell the magnitude of resultant vector R=A+B. 2. When the two vectors are having equal magnitude and they are antiparlell then R=A-A=0. For more information: thrinath_dadi@yahoo.com
Explain the difference between vector addition and vector resolution?
Vector addition derives a new vector from two or more vectors. The sum of two vectors, A = (a, b) and B = (c,d), is given as S = A+B = (a+c, b+d). Vector resolution should be called something like vector decomposition. It is simply the operation of taking a vector A and writing the components of that vector, (a,b). It's very easy to determine the horizontal and vertical component vectors using trigonometric identities. The vector A starts at the origin and ends at a point (a, b), vector resolution is the method for determining a and b. The lengths a and b can be computed by knowing the length of the original vector A (the magnitude or A) and the angle from the horizontal, theta: a = A*cos(theta), b = A*sin(theta). Going in the other direction, the vector A can be reconstructed knowing only a and b. The magnitude is given by A = sqrt(a*a + b*b). The angle theta is given by solving cos(theta) = a/A (or sin(theta) = b/A). And, in fact, if you take the component vectors a and b, their sum gives the original vector, A = a + b, where a should be thought of as a*i and b = b*j where i and j are unit vectors in x and y directions.Vector addition is when you add two or more vectors together to create a vector sum.
