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
kolbaska11 [484]
3 years ago
11

HELP! Find v × w if v = 3i + 8j – 6k and w = –4i – 2j – 3k.

Mathematics
2 answers:
wolverine [178]3 years ago
8 0

Using the determinant method, the cross product is

\begin{vmatrix}\vec\imath&\vec\jmath&\vec k\\3&8&-6\\-4&-2&-3\end{vmatrix}=\begin{vmatrix}8&-6\\-2&-3end{vmatrix}\,\vec\imath-\begin{vmatrix}3&-6\\-4&-3\end{vmatrix}\,\vec\jmath+\begin{vmatrix}3&8\\-4&-2\end{vmatrix}\,\vec k=-36\,\vec\imath+33\,\vec\jmath+26\,\vec k

so the answer is B.

Or you can apply the properties of the cross product. By distributivity, we have

(3i + 8j - 6k) x (-4i - 2j - 3k)

= -12(i x i) - 32(j x i) + 24(k x i) - 6(i x j) - 16(j x j) + 12(k x j) - 9(i x k) - 24(j x k) + 18(k x k)

Now recall that

  • (i x i) = (j x j) = (k x k) = 0 (the zero vector)
  • (i x j) = k
  • (j x k) = i
  • (k x i) = j
  • (a x b) = -(b x a) for any two vectors a and b

Putting these rules together, we get

(3i + 8j - 6k) x (-4i - 2j - 3k)

= -32(-k) + 24j - 6k + 12(-i) - 9(-j) - 24i

= (-12 - 24)i + (24 + 9)j + (32 - 6)k

= -36i + 33j + 26k

AleksandrR [38]3 years ago
7 0

Answer:

B. –36i + 33j + 26k

Step-by-step explanation:

You might be interested in
PLEASE HELP (only if you know what you are doing )
KiRa [710]

Answer:

1. 3     2. 22     3. 0

Step-by-step explanation:

First Box: Jada only has <u>$15</u> dollars she can spend

If she chooses to buy 6 individual songs that would cost her $3.

because each individual song cost $0.50 so (6 times 0.5= 3)

Since Jada only has $15 we need to subtract 3 from 15 to find out how much money she has left. So, 15-3=12. Jada has $12 left

An album cost $4 dollars each so Jada can only buy 3 albums with $12 because 12 divided 4 is 3.

Answer to first box: 3

Second Box:  Jada only has <u>$15</u> dollars she can spend

If she chooses to buy 1 album that would cost her $4.

because each individual song cost $4 so (4 times 1= 4)

Since Jada only has $15 we need to subtract 4 from 15 to find out how much money she has left. So, 15-4=11. Jada has $11 left

An individual song cost $0.50 dollars each so Jada can only buy 22 individual songs with $11 because 11 divided by 0.5=22.

Answer to second box: 22

Third Box: Jada only has <u>$15</u> dollars she can spend

If she chooses to buy 30 individual songs that would cost her $15.

because each individual song cost $0.50 so (30 times 0.5= 15)

Since Jada only has $15 we need to subtract 15 from 15 to find out how much money she has left. So, 15-15=0. Jada has $0 left

An album cost $4 dollars each so Jada can only buy 0 albums with $0 because 0 divided 4 is 0.

Answer to third box: 0

4 0
3 years ago
Read 2 more answers
Mark has a checking account. His opening balance on 1/7 was $110. The bank charges a 25¢ fee for each debit card transaction and
ipn [44]
110+30-(15+0.25)+40-(8+0.25)=156.5
7 0
2 years ago
12x + 4 divided by 4 plus 20x + 5 divided by 5
Rasek [7]
12x + 4 ➗ 4 + 20x + 5 ➗ 5

1. PEMDAS (order of operations) solve the division problems

(4 divided by 4 & 5 divided by 5)
12x + 1 + 20x + 1

2. Swap around the order of operations as commutative property states that you can swap the order of an addition problem and get the same answer.

12x + 20x + 1 + 1

3. Add like terms

32x + 2

This is the most simplified answer you could get as you can not add 32x and 2 as they are not like terms.
6 0
2 years ago
1 saa<br> ite<br> 5. Count by tens. What is the<br> next number?<br> 20, 30, 40, 50,
OleMash [197]

Answer:

60

Step-by-step explanation:

I would assume you want the answer step-by-step:

We can count carefully and read the question again.

It is asking for us to count by tens or add ten to the most recent integer in the pattern.

In that case, we can see that our answer will by 50 + 10 = 60.

Also, note, that this question is not very intellectually challenging! Next time ask a question like "What do they mean when they say this?" If you don't understand the wording.

7 0
2 years ago
Read 2 more answers
C = 172.7 cm
Anika [276]
I am hoping that the a in c = ad is supposed to be x.

The formula for circumference is c = pi * diameter with 3.14 substituting for pi.

Let’s plug in some values

172.7 = 3.14d

Divide

55 = d

The diameter should be 55 cm.
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 3x - 4 + 20 =55
    10·1 answer
  • Catherine walks her dog 3/4 mile everyday. how far does she walk each day?
    6·2 answers
  • 437.6 rounded to the nearest hundred
    15·2 answers
  • Ten more than number is 62.
    6·1 answer
  • Multiply. Express your answer in simplest form.
    15·2 answers
  • Someone KEEPS answering my questions and THERE ANSWERS ARE RIGHT. AHH HOW? srlt2 you smart. Anyways does anyone wanna help me
    5·1 answer
  • Solve for x in the diagram shown.
    7·1 answer
  • Isosceles triangle PQR in which PQ = PR = 45 mm and PQR = 20° Picture​
    15·1 answer
  • The record time for running the Boston Marathon is 2.12 hours at an average speed of 12.5 miles per hour. What distance does the
    15·2 answers
  • LOTS OF POINTS, WILL GIVE BRAINLIEST!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!