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grigory [225]
3 years ago
11

Difference between dot and cross product

Mathematics
1 answer:
Rashid [163]3 years ago
8 0
If you have two vectors A and B,
Dot product is a scalar quantity dealing with how much of one vector is in the same direction as the other vector, or the projection of one onto the other. You can see that from the cosine part of this form-
A~*~B = [A][B]cos(\theta)

The cross product is a vector perpendicular to both A and B. It deals with how much of one vector is perpendicular to the other vector. You can see that in the sine part of this form -
A ~x ~B= [A][B]sin(\theta)


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David is watching maria and alma race electric trains around track. Maria train can go around the track in 10 seconds. Almas tra
Nady [450]

Answer:

60 seconds.  

Step-by-step explanation:  

We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.

To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.  

Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...    

Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..  

We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.

6 0
3 years ago
I need help . This problem is confusing me.<br><br>​
Sholpan [36]

Answer:

The answer is 3093.

3093 (if that series you posted actually does stop at 1875; there were no dots after, right?)

Step-by-step explanation:

We have a finite series.

We know the first term is 48.

We know the last term is 1875.

What are the terms in between?

Since the terms of the series form a geometric sequence, all you have to do to get from one term to another is multiply by the common ratio.

The common ratio be found by choosing a term and dividing that term by it's previous term.

So 120/48=5/2 or 2.5.

The first term of the sequence is 48.

The second term of the sequence is 48(2.5)=120.

The third term of the sequence is 48(2.5)(2.5)=300.

The fourth term of the sequence is 48(2.5)(2.5)(2.5)=750.

The fifth term of the sequence is 48(2.5)(2.5)(2.5)(2.5)=1875.

So we are done because 1875 was the last term.

This just becomes a simple addition problem of:

48+120+300+750+1875

168      +   1050  +1875

          1218          +1875

                         3093

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Answer:

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Answer:

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Step-by-step explanation:

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