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
dedylja [7]
3 years ago
7

Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v = 5i + j + 3k.

Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Answer:

94 cubic units

Step-by-step explanation:

The volume of this parallelepiped (the product of area of its base and height) is equal to the absolute value of the scalar triple product |\vec{t}\cdot (\vec{u}\times \vec{v})|

Since

\vec{t}=3\vec{i}-4\vec{j}-6\vec{k}=(3,-4,-6)\\ \\\vec{u}=3\vec{i}-7\vec{j}-7\vec{k}=(3,-7,-7)\\ \\\vec{v}=5\vec{i}+\vec{j}+3\vec{k}=(5,1,3)

we have

|\vec{t}\cdot (\vec{u}\times \vec{v})|=\left|\left|\begin{array}{ccc}3&-4&-6\\3&-7&-7\\5&1&3\end{array}\right|\right|=|3\cdot (-7)\cdot 3+(-4)\cdot (-7)\cdot 5+3\cdot 1\cdot (-6)-5\cdot (-7)\cdot (-6)-3\cdot (-7)\cdot 1-3\cdot (-4)\cdot 3|=|-63+140-18-210+21+36|=|-94|=94\ un^3.

You might be interested in
STUDENT HOURS KATY 5.5
mario62 [17]
The best answer to go with is b
4 0
3 years ago
Mrs. Ness buys 22 oz. of bananas for $2.86. What was the cost per ounce of the bananas?
Nezavi [6.7K]

Answer:

$0.13  per oz

Step-by-step explanation:

since you have $2.86, you have to split it into 22 ounces. You divide the 2.86 and the 22oz. and get 0.13

4 0
3 years ago
What is the answer??????????
Troyanec [42]
The answer is 91 ............
4 0
2 years ago
Read 2 more answers
The Students' Union needs to order some pens and notebooks. How much does it cost to order 1000 pens and 2000 notebooks? $ Cost
NeX [460]

Answer:

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

Step-by-step explanation:

The Students' Union needs to order 1000 pens and 2000 notebooks. The price per pen when buying 1000 of them is 60c. The price per notebook when buying 2000 of them is 76c.

Then the total of money needed to order 1000 pens and 2000 notebooks is:

Total Money = 1000 × 0.60 + 2000 × 0.76 = $2120

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

6 0
3 years ago
-3. 12=2+<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%7D%20" id="TexFormula1" title=" \frac{x}{2} " alt=" \frac{x
Kipish [7]
Which one has the variable?
4 0
3 years ago
Other questions:
  • Kathy spins the spinner below 120 times. How many times is the spinner expected to land on yellow?
    15·1 answer
  • The ratio of trucks to cars in a parking lot was 5 to 2. How many trucks were in the lot if there where 18 cars?
    9·1 answer
  • Jan’s salary is 30000 and it will increase by 3000 each year. Phil’s salary is 20,000 and will be increased by 5,000 each year.
    13·1 answer
  • The ratio of 4:8 is equivalent to x:6, what is the value of x?
    10·2 answers
  • What is the maximum of f(x) = sin(x)?
    15·2 answers
  • A gas station advertises its gasoline at $2.619 per gallon. Mia uses cash to buy 6.1 gallons of gasoline.
    13·1 answer
  • Help? i do not understand how to get the answer...​
    6·1 answer
  • 8x - 3y &lt; 4<br> 9.x + 2y &lt;-1<br> is (5, -5) a solution of the system?
    14·2 answers
  • Expand and simplify (x+2)(x-5)
    11·1 answer
  • Log (z ^ 3)/(x ^ 4 * y ^ 5) with steps please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!