If a is to b as c is to d, a x d = b x c. The product of the means (b & c) equals the product of the extremes (a & d).
2xa/b
Scalar product = (magnitude of 'A') times (magnitude of 'B') times (cosine of the angle between 'A' and 'B')
It is the cross product of two vectors. The cross product of two vectors is always a pseudo-vector. This is related to the fact that A x B is not the same as B x A: in the case of the cross product, A x B = - (B x A).
(A1) The dot product of two vectors is a scalar and the cross product is a vector? ================================== (A2) The cross product of two vectors, A and B, would be [a*b*sin(alpha)]C, where a = |A|; b = |B|; c = |C|; and C is vector that is orthogonal to A and B and oriented according to the right-hand rule (see the related link). The dot product of the two vectors, A and B, would be [a*b*cos(alpha)]. For [a*b*sin(alpha)]C to equal to [a*b*cos(alpha)], we have to have a trivial solution -- alpha = 0 and either a or b be zero, so that both expressions are zeroes but equal. ================================== Of course one is the number zero( scalar), and one is the zero vector. It is a small difference but worth mentioning. That is is to say if a or b is the zero vector, then a dot b must equal zero as a scalar. And similarly the cross product of any vector and the zero vector is the zero vector. (A3) The magnitude of the dot product is equal to the magnitude of the cross product when the angle between the vectors is 45 degrees.
The product of twice "a" and "b" can be expressed as: 2ab In this expression, "a" and "b" are variables that represent numerical values. Multiplying "a" and "b" gives their product, and then multiplying the result by 2 gives twice that product.
If a is to b as c is to d, a x d = b x c. The product of the means (b & c) equals the product of the extremes (a & d).
2xa/b
Scalar product = (magnitude of 'A') times (magnitude of 'B') times (cosine of the angle between 'A' and 'B')
x=ab
The answer to the product of a and b divided by an expression that is 3 times their difference is 3ab(a+b).
( A/B ) x ( C/D ) = ( A x C )/( B x D ) -- The numerator of the product is the product of the numerators. -- The denominator of the product is the product of the denominators.
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b benefits
It is the cross product of two vectors. The cross product of two vectors is always a pseudo-vector. This is related to the fact that A x B is not the same as B x A: in the case of the cross product, A x B = - (B x A).
No. The product of sqrt(2) and sqrt(2) is 2, a rational number. Consider surds of the form a+sqrt(b) where a and b are rational but sqrt(b) is irrational. The surd has a conjugate pair which is a - sqrt(b). Both these are irrational, but their product is a2 - b, which is rational.
The chemical reaction consists of reactants A and B reacting to form product AB. A and B are the reactants, while AB is the product.