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If the commutative law not hold in cross product then prove it?
Wiki User
∙ 14y ago
Actually The cross product of two vector is a VECTOR product. The direction of a vector product is found by the right hand rule. Consider two vectorsA and B,AxB= CWhere C is the Cross product of A and B, and by right hand rule its direction is opposite to that of BxA that isBxA=-C
Wiki User
∙ 14y ago
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What is a commutative propetive?
When we add 5+6 we get 11. If suppose I add 6+5, once again I get same 11. So if we add 5 with 6 or 6 with 5 we get the same result. So though we change the order the result remains the same. So we say addition is commutative. But in case of subtraction this is not so. As we subtract 5 from 6 we get +1 and if we subtract 6 from 5 then we get -1. +1 and -1 are not equal. 6-5 not= 5-6. Here commutative property does not hold good in case of subtraction. Same way 5 x 6 gives 30 and 6 x 5 also gives 30. Hence multiplication is commutative. But vector multiplication is not commutative. a x b not= b x a. Here x stands for cross product symbol of two vectors. a . b = b . a Scalar product, of course, is commutative but vector product is not so. So we name a device being used in physics experiments as commutator which would make current flow in both the directions in Tangent Galvanometer.
What is associative property and commutative property?
If a binary operation is associative, it means that you get the same result if you change the order. For example, let * denote a binary operation. Then, if * is associative,a*(b*c) = (b*c)*aThis would hold if, for example, * represents the operation of addition. It would not hold if * represents subtraction.eg 1+(1+2) = (1+2)+1 = 4but 1-(1-2) = 2, whereas (1-2)-1 = -2If a binary operation is commutative, then you get the same result no matter what order you do the operations in. So,a*(b*c) = (a*b)*cHere, you can see that multiplication is commutative, but division is not.e.g. 1x(1x2) = (1x1)x2 = 2but 1/(1/2) = 2, whereas (1/1)/2 = 1/2* * * * *The above answer is completely the wrong way around.Associativity implies that(a * b) * c = a * (b * c) and so either can be written as a * b * cCommmutativity implies thata * b = b * aMultiplication is associative as well as commutative whereas division is neither.
Why does the commutative and associative properties don't hold true for subtraction and division but the identity properties do?
Consider the main operations to be addition and multiplication. In that case, subtraction is defined in terms of addition, for example, a - b = a + (-b) (where the last "-b" refers to the additive inverse of b), while a / b = a times 1/b (where 1/b is the multiplicative inverse of b). Now, assuming that commutative, etc. properties hold for addition and multiplication, check what happens with a subtraction. That should clarify everything. For example: a - b = a + (-b) whereas: b - a = b + (-a) which happens NOT to be the same as a - b, but rather its additive inverse.
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I can only assume that the term 'value' in product design holds the same meaning as it does in branding and advertising. Value is a measurement and indication of a product's intangible worth. A new product does not hold any tangible worth as it has no record of monetary success or market share etc., it can only be predicted. A product can be deemed to hold great value if it represents as something which has the potential to achieve great success - i.e. has a strong USP, offers great margins, is highly transferable, is greatly innovative etc. Value in product design can be obtained and increased by including/ emphasising/ exploiting aspects of the product that are likely to encourage purchase. This can be extended further by saying that a product, though may not sell very well, still holds great worth if it supports the brand by acting as an augmentation, facilitating brand strength and worth, thus a greater external success.
Does commutative property hold in subtraction?
No.
What is a commutative propetive?
When we add 5+6 we get 11. If suppose I add 6+5, once again I get same 11. So if we add 5 with 6 or 6 with 5 we get the same result. So though we change the order the result remains the same. So we say addition is commutative. But in case of subtraction this is not so. As we subtract 5 from 6 we get +1 and if we subtract 6 from 5 then we get -1. +1 and -1 are not equal. 6-5 not= 5-6. Here commutative property does not hold good in case of subtraction. Same way 5 x 6 gives 30 and 6 x 5 also gives 30. Hence multiplication is commutative. But vector multiplication is not commutative. a x b not= b x a. Here x stands for cross product symbol of two vectors. a . b = b . a Scalar product, of course, is commutative but vector product is not so. So we name a device being used in physics experiments as commutator which would make current flow in both the directions in Tangent Galvanometer.
Is (10 plus 16) plus (24 plus 20) (10 plus 20) plus (16 plus 24) commutative property?
It is the commutative property as well as the associative property. Without the second, the equality need not hold.
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