<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:
-1
Step-by-step explanation:
slope: change in y divided by change in x
y2-y1/x2-x1
-11-(-5)/4-(-2)
-11+5/4+2
-6/6
-1
Answer:
-1/2
Step-by-step explanation:
The cosine is equal to the x coordinate of the point where the terminal side of the angle intersects the unit circle.
The equation is
y = $10,000+ $225x
<em>$225 (6) + $10,000 = y</em>
<em>$1,350 + $10,000 = y</em>
<em>$11,350 = y</em>
He will have saved $11,350 dollars in six months.
