<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>
27.17 revolution per seconds
What exactly are you asking?
Step-by-step explanation:
I'm not sure about my answer
Answer:
Radius = 2 cm.
Step by step explanation:
By the Pythagoras theorem the third side of the triangle
= sqrt (6^2 + 8^2)cm = sqrt100 = 10cm.
The formula for the radius of the circle is
r = sqrt [ (s - a)(s-b)(s-c)/ s ] where a,b,c are side lengths and s = the semi perimeter.
Here s = ( 6+8+10) / 2 = 12
So the radius r
= sqrt [ (12-6)(12-8)(12-10)/ 12 ]
= sqrt 4
= 2 (answer).
