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no the answer is no because you can fine a-b and b-a individually but in general they are not equal
By Habib
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∙ 13y ago
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Explain associative and commutative?
Commutative law: The order of the operands doesn't change the result. For example, 4 + 3 = 3 + 4. Associative: (1 + 2) + 3 = 1 + (2 + 3) - it doesn't matter which addition you do first. Both laws are valid for addition, and for multiplication (as these are usually defined, with numbers. However, special "multiplications" have been defined that are not associative, or not commutative - for example, the cross product of vectors, or multiplication of matrices are not commutative.
Can multiplication be distributive over subtraction?
Multiplication can be the first step when using the distributive property with subtraction. The distributive law of multiplication over subtraction is that the difference of the subtraction problem and then multiply, or multiply each individual products and then find the difference.
Why cross product does not obey commutative property?
The cross product of two vectors is defined as a × b sinθn Where the direction of Cross product is given by the right hand rule of cross product. According to which stretch the forefinger of the right hand in the direction of a and the middle finger in the direction of b. Then, the vector n is coming out of the thumb will represent the direction. As direction of a × b is not same to b × a. So it does not obey commutative law.
What is thr proof of distributive law in vectors?
two numbers multiply one another
What is law of vector addition?
Let x = [x1, x2, ... xk] and y= [y1, y2, ... yk] be the two vectors of length k.Then we define their sum to be x+y = [x1+y1, x2+y2, ... xk+yk]In other words, add the corresponding elements in the two vectors.
Does addition and subtraction of two vectors obey the commutive law?
Yes.
Does the subtraction of two vectors obey the commutative law?
Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule
Does addition and subtraction of vectors obey the commutative law?
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.
Does law of vectors mean triangle law of vectors?
law of vectors also include the parallellogram law .
What are the Methods used in adding and subtracting vectors?
Triangle law of vectors or parallelogram law of vectors. Just while subtracting change the direction of the vector which is to be subtracted and add along with the one from which it is to be subtracted. Just as we change the sign and add in case of subtraction of numbers. Answer2: Vectors are added and subtracted by component. A=a1 + a2 and B=b1 + b2 then C = A + B = (a1 + b1) + (a2 + b2) = c1 + c2 .
What are commutative and associative properties of addition?
Commutative Law: a + b = b + a Associative Law: (a + b) + c = a + (b + c)
What are the applications of Parallelogram law of vectors?
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
Does law of vectors means triangle law of vector?
ya they just accidentally said law of vectors instead.
What is meant by associative law of addicting?
The associative law of addition refers to the fact that numbers can be grouped in different combinations and the answer will still be the same.
In which number associative law does not hold?
The associative law holds for all numbers. There are operations that it may not hold for, but that is an entirely different matter.
When was Obey The Law created?
Obey The Law was created on 1926-11-05.
Explain associative and commutative?
Commutative law: The order of the operands doesn't change the result. For example, 4 + 3 = 3 + 4. Associative: (1 + 2) + 3 = 1 + (2 + 3) - it doesn't matter which addition you do first. Both laws are valid for addition, and for multiplication (as these are usually defined, with numbers. However, special "multiplications" have been defined that are not associative, or not commutative - for example, the cross product of vectors, or multiplication of matrices are not commutative.
