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Is the sum of the square of cross and dot products equal to the square of their product?
Your question makes no sense.... What you meant to say is:
Is the sum of the square of magnitude of the cross product and the square of dot product of two vectors equal to the product of the square of their magnitudes?
i.e:
|A x B|2 +(A .B)2 = |A|2|B|2
The answer is YES. It is called Lagrange's identity and is a special case of the Binet-Cauchy identity.
(Ax B) .(Cx D)+(A.D)(B.C)=(A.C)(B.D)
Where A= Cand B= D.
What else can I help you with?
What is a true proportion?
A true proportion is when two ratios are equal to one another. To prove this, you need to find the cross products of the ratios and see if they are equal. An example of a true proportion are the ratios 1/2 and 5/10, if you take the cross product the result is 2 x 5 = 1 x 10, which are equal.
What is the geometric mean of 8 and 20?
The answer is approximately 12.65. To find the answer of this problem you set 20/x as equal to x/8 (also works vice versa) and then you cross multiply getting 160=x^2. Afterwards you use the order of operations and find that the square root of 160 is equal to x. The square root of 160 is approximately equal to 12.65 which is how you get to your final answer.
Which set of properties describes a square?
It has four sides of equal length and the corner angles are all equal.
Are the angles of a rhombus all equal?
A rhombus looks like a lopsided square, or a diamond shape. It is a parallelogram with four equal sides. The angles of a rhombus do not all need to be equal BUT opposite angles of a rhombus ARE equal. If you were to "straighten it up" and make all the angles equal at right angles, it would be a square. A rhombus with four right angles is a square.
What is the square root of -12?
The square root of 12 is: ± 3.464102
Can a proportion be equal if the cross products are not equal?
No. A cross product is just a way of simplifying a proportion. If the cross product aren't equal, it follows logically that the proportion isn't equal.
If cross products are equal the ratios are equal?
Yes, they are.
Is the square root of a product equal to the product of the square roots?
Yes.
Define cross product?
When you have a fraction on each side of the equals you can multiply the denominator of the left side times the numerator of the right. It will equal the product of the numerator on the left side times the denominator of the right. That is called cross products.
What is a cross product and give an example?
It's part of a proportion. The cross products in a proportion are equal. example: 3/4 = 15/20 4x15 = 60 3x20 = 60
When you cross multiply two equal ratios the what are equal?
The products.
What does it mean if the cross products of two ratios are not equal?
The ratios are not equal.
Are square products always equal?
No, the square root of 9 is 3. Neither of them are equal.
What is true about the cross products of a proportion?
They're equal
What are characteristics of an equivelent fraction?
Their cross products are equal.
What is the mathematical term the product of the mean equals the product of the extremes?
: The product of the means is equal to the product of the extremes. When you cross multiply to show 2 fractions are equivalent. Ex a/c =b/d so cross multiplying would show a x d = c x b c x b are the means a x d are the extremes Their products are equal in a proportion or equivalent fractions that is the answer and it is correct
This is the product of two equal terms?
Square
