1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timama [110]
3 years ago
14

If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a

Mathematics
1 answer:
ycow [4]3 years ago
6 0
<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/9​​i−​y/9​​j−​z/9​​k)=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>
You might be interested in
What is the inequality
RideAnS [48]
Is what is an inequality your question? An inequality is basically expressions that use the "greater than", "less than", "greater than or equal to", or "less than or equal to" symbols. A.K.A these:  > <   ≥  ≤
7 0
3 years ago
What is the value of the expression 50 - (5 + 2)2 + 6?
umka2103 [35]

Answer:

I believe it's 42

Step-by-step explanation:

Replace each letter in the expression with the assigned value.

First, replace each letter in the expression with the value that has been assigned to it. To make your calculations clear and avoid mistakes, always enclose the numbers you're substituting inside parentheses. The value that's given to a variable stays the same throughout the entire problem, even if the letter occurs more than once in the expression.

However, since variables "vary", the value assigned to a particular variable can change from problem to problem, just not within a single problem.

Perform the operations in the expression using the correct order of operations.

Once you've substituted the value for the letter, do the operations to find the value of the expression.

7 0
2 years ago
Alexis loves to work out on the treadmill. On Monday, she ran 1.52 miles. On Tuesday she ran 0.75 miles. On Wednesday she ran 2.
poizon [28]

Answer:

1.08 Miles

How I Found The Answer:

2.65 + 1.52 + 0.75 = 4.92

6 - 4.92 = 1.08

I Said Alexis Wished To Have An Even Number So She Ran 1.08 Miles.

6 0
2 years ago
Why is graphing not always the best option for solving systems?
RideAnS [48]
1, Might not be precise 
2, Can be hard to plot the graphs
3, If there are many solutions that will be really hard to plot sometimes. 

This is just from the top of my head. 
3 0
3 years ago
Read 2 more answers
Imagine that you are the chief information officer for a medium-sized company that sells pre-packaged ingredients for healthy me
lina2011 [118]

Answer:

Employers will look to see which workers are applying themselves. They want workers who are flexible, have good attitudes, are loyal to their company, practice good judgement, and are unselfish. Workers who go out and do work that is not formally assigned to them and expand the scope of their responsibilities are rewarded with promotions. Workers who maintain extensive professional networks and learn new skills are also prime candidates for promotion.

This was the example answer. Hope this helps!! HAVE AN AMAZING DAY!

8 0
3 years ago
Other questions:
  • Use the expression 5x 23 to match the following vocabulary words. 1.2coefficient 2.3variable 3.5exponent 4.xbase
    14·1 answer
  • Solve the system of equations by substitution.<br> y = 8<br> X – 2y + 3z = 3<br> 3x + 3y – 2z = 15
    6·1 answer
  • You have 5 pairs of pants, 8 shirts, and 3 ties - how many different outfits can you make?
    12·1 answer
  • HELP! Amber must make up a vocabulary quiz. She can take it during her lunch or after school on Wednesday, Thursday, or Friday.
    10·1 answer
  • Eight times the result of subtracting 3 from a number is equal to the number increased by 25. What is the number?
    15·2 answers
  • Helppppp
    5·2 answers
  • 4.5(32 divided by 8) +12
    5·1 answer
  • Pleasee helpp!!! NO LINKS OR FILES OR I WILL REPORT
    13·1 answer
  • What is the volume of the rectangular prism?
    6·1 answer
  • Find the GCF of 5y5 and 50y2.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!