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
stealth61 [152]
2 years ago
14

Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (

2, 4, â2), and (2, â6, 1).
Mathematics
1 answer:
valentinak56 [21]2 years ago
4 0

Answer:

23

Step-by-step explanation:

Here is the complete question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).

Solution

We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.

So, (1, 0, -3), (1, 2, 4)  and (5, 1, 0)

A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right]

The determinant of A is the volume of the parallelepiped. So,

detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)

= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)

= 1(-4) - 1(3) + 5(6)

= -4 - 3 + 30

= 23

So the volume of the parallelepiped is 23

You might be interested in
A triangle has sides measuring 2 inches and 7 inches. If x represents the
xz_007 [3.2K]

Answer:

its d.

Step-by-step explanation:

the other guy is wrong

3 0
3 years ago
A team surveys 1,000 fans to find out their preference for the team’s new uniform color. The bar graph here shows the results. W
melamori03 [73]
Since, we don't have the actual graph, I cannot give you a final answer. However, I can explain how to find the answer.

If you are looking for the color that the fans like the least, just pick the bar that is the smallest. This will be the correct answer.
4 0
3 years ago
Rewrite using a negative exponent. 5/x^2
SashulF [63]

Answer:

5x^-2 is rewritten as a negative exponent

4 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
belka [17]

Answer:

C=5

Step-by-step explanation:

hope this helps

so sorry if this is the wrong answer

plz mark brainliest if correct answer

6 0
2 years ago
Read 2 more answers
Each month for 7 months, Eve reads 3 books. How many more books does she need to read before she has read 30 books?
enot [183]
How many books has she read so far? She's been doing this for 7 months, so so far she's read:

7*3=21

how many does she still need to read?

30-21=9

so she needs to read 9 more books. With 3 books a month, this means:

9/3=3

so she needs to read 9 more books, which will take her 3 months!
6 0
3 years ago
Other questions:
  • Kevin had to measure the diameter of a hair strand and the diameter of a grain of sand for his science experiment. He found the
    6·1 answer
  • G (x) = -2 (x + 10) (x - 2) what’s the axis of symmetry of the graph
    7·1 answer
  • What are the next letters? CD HI MN RS
    10·1 answer
  • Marco wants to save his money to buy a new computer for school. He has $300 in his bank account. Marco has a part-time job that
    7·1 answer
  • Sheila is a wildlife biologist. Her daily task is to count the number of wild turkeys and white-tail deer in a large game reserv
    8·1 answer
  • How to write 8% as ratio in simplest form
    7·1 answer
  • Please help ASAP ASAP
    11·1 answer
  • What is the value of z?<br> Z =
    10·2 answers
  • Find the length of a segment in the coordinate plane with endpoints (-1 , 3) and (4 , -5).
    9·2 answers
  • I’d appreciate help ASAP please and thank you!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!