<span> we know the length of the cable is 9m.
That means the magnitude of </span><span><span>r<span><span><span>AB</span></span><span></span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span><span>AB</span></span><span></span></span></span><span> divided by the magnitude.
</span>u=<span>(<span><span>x/9</span><span></span></span>i−<span>y/9<span></span></span>j−<span>z/9<span></span></span>k<span>)
</span></span><span>We can also figure out the unit vector of F.
</span>u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.
Therefore
</span>(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m
The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
Answer:
8 baseballs : 4 gloves
4 baseballs : 2 gloves
16 baseballs : 8 gloves
2 baseballs : 1 glove
10 baseballs : 5 gloves
Step-by-step explanation:
I think It's just asking to put some ratios that go with the one given.
Claire is sharing a pizza with two other people. There is one quarter left of the pizza. How much will each person get.
<h3>
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ First calculate how many counters are 'not white'
12 - 7 = 5
We have 5 counters that are 'not white'
The probability of taking a white counter the first time is 7/12
For the next pick, there would be 1 less of the total counters as it is not being replaced
The probability of then taking a 'not white' counter is 5/11
The other way you could still get one white counter is:
The first counter (non white) probability would be 5/12
The second counter (white) probability would be 7/11
Multiply these values:
7/12 x 5/11 = 35/132
5/12 x 7/11 = 35/132
Add these two values together:
35/132 + 35/132 = 70/132
Your answer is 70/132
<h3><u>
✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡