Answer:
Step-by-step explanation:
The formula for the dot product of vectors is
u·v = |u||v|cosθ
where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.
which is 
which is 
I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.
We also need the angle, which of course has its own formula.
where uv has ITS own formula:
uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.
uv = 96.
To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:
which returns an angle measure of 30.7. Plugging that all into the dot product formula:
gives you a dot product of 96
The answer to this question is 2.
Answer:
2 t-shirts ; 1 collar shirt
Step-by-step explanation:
We need to first obtain the ratio of T - shirts to collar shirts :
T - shirts = 10
Collar shirts = 5
Ratio = T - shirts / Collar shirts = 10 / 5 = 2 /1 = 2:1
Hence, using the ratio obtained ; if Jake buys 3 new shirts :
Number of T-shirts :
(Ratio of t-shirts / total ratio) * new t-shirts
2/3 * 3 = 2 t-shirts
Collar shirts :
1/3 * 3 = 1
2 t-shirts ; 1 collar shirt
Answer:
Answer 6.582
Step-by-step explanation:
0 6. 5 8 2
1 5 9 8. 7 3 0
− 0
9 8
− 9 0
8 7
− 7 5
1 2 3
− 1 2 0
3 0
− 3 0
0
Hope its understandable ._.
I can help you with 11 so its 588 because I know that 600 divide by 12 equals 50 so they said they want less then 600 so I tried 49 times 12 equals 588
