Correct formula in dot smoothly

Aug 6th, 2022
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How to Correct formula in dot

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is rather than adding when we added two vectors what we got we got a new vector right we got what we call the resultant vector when we subtracted we got a vector well now theres going to be a new operation that were going to do with two vectors but its not going to produce a vector its actually going to produce a scalar and were not going to talk too much about it today but next class were going to talk about more how were going to use that back how were going to use that scalar so what im going to what were going to do now is what we call the dot product okay so the dot product looks very very similar to like a multiplication symbol but i need you guys to understand that this is going to be when i ask for this dot youre going to see the symbol of a larger dot than a dot for multiplication youre going to apply the dot product what the dot product says if im going to say the dot product of u and v that is going to equal u 1 times v 1 plus u 2 times v 2. okay thats it that

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15:30 35:10 Dot Product of Two Vectors - YouTube YouTube Start of suggested clip End of suggested clip Now lets say if we have two vectors vector a which is 3i plus 4j. And vector b. Which lets sayMoreNow lets say if we have two vectors vector a which is 3i plus 4j. And vector b. Which lets say its a 5i minus 4j what do we need to do in order to find the angle between the two vectors. To find
0:08 7:26 Vectors - The Dot Product - YouTube YouTube Start of suggested clip End of suggested clip When you take the dot product of two vectors. You get a number you dont get another vector. OkayMoreWhen you take the dot product of two vectors. You get a number you dont get another vector. Okay whereas the cross product if you take the cross product of two vectors you do get a new vector.
0:00 10:38 Applications of the Dot Product - YouTube YouTube Start of suggested clip End of suggested clip In this lesson well take a look at applications of the dot product and the first one is is to useMoreIn this lesson well take a look at applications of the dot product and the first one is is to use the dot product to find the angle between two vectors and specifically the two vectors are drawn to
the formula to determine the magnitude of a vector (in two dimensional space) v = (x, y) is: |v| =(x2 + y2). This formula is derived from the Pythagorean theorem. the formula to determine the magnitude of a vector (in three dimensional space) V = (x, y, z) is: |V| = (x2 + y2 + z2)
2:11 3:06 Calculate The Dot Product of Two Vectors Using A Casio Fx 991ES YouTube Start of suggested clip End of suggested clip So press shift five for the menu that lets us work with this data. So press shift and then five youMoreSo press shift five for the menu that lets us work with this data. So press shift and then five you notice is the vector written above there which is accessed is through the shift.
0:04 7:26 Vectors - The Dot Product - YouTube YouTube Start of suggested clip End of suggested clip Product is a number okay its not. When you take the dot product of two vectors. You get a numberMoreProduct is a number okay its not. When you take the dot product of two vectors. You get a number you dont get another vector.
First find the magnitude of the two vectors a and b, i.e., |a| | a | and |b| | b | . Secondly, find the cosine of the angle between the two vectors. Finally take a product of the magnitude of the two vectors and the and cosine of the angle between the two vectors, to obtain the dot product of the two vectors.
Calculate the dot product of a=(1,2,3) and b=(4,5,6). Do the vectors form an acute angle, right angle, or obtuse angle? we calculate the dot product to be ab=1(4)+2(5)+3(6)=410+18=12. Since ab is positive, we can infer from the geometric definition, that the vectors form an acute angle.
The dot product is equal to the sum of the product of the horizontal components and the product of the vertical components. This same equation could be solved for theta if the angle between the vectors needed to be determined.
A dot product is the product of the magnitude of the vectors and the cos of the angle between them. a . b = |a| |b| cos.

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