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
Which integer is closest to 0 on the number line?
Elenna [48]
The answer is C, 1.
In a number line, the larger number it gets, the more of the right side they're. The smaller the number, the more left side they get.
So, on a number line, 1 is just at the right side of 0, all the other options are at least one more place away from 0.
7 0
3 years ago
Read 2 more answers
What is the answer to so love the equation of 5(x+1)= -10
Bas_tet [7]

Answer:

.4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help me solve this fast! Will give brainliest!
gulaghasi [49]

Answer:

After checking the problem, I figured out that X = 6.

Step-by-step explanation:

6 0
3 years ago
Please help me find y and show work/steps. I don't know how to do it
trasher [3.6K]

We will check if y and 60cm are parallel.

If the lengths 28cm, 56cm and 15cm, 30cm are in proportion, then y and the segment 60cm are parallel.

\dfrac{56}{28}=\dfrac{30}{15}\\\\2=2\qquad CORRECT!

OK. We know: y and 60cm are parallel. Therefore we have equation:

\dfrac{y}{28+56}=\dfrac{60}{56}\\\\\dfrac{y}{84}=\dfrac{15}{14}\qquad|\text{cross multiply}\\\\14y=15\cdot84\qquad|\text{divide both sides by 14}\\\\y=90cm

<h3>Answer: y = 90 cm.</h3>
5 0
3 years ago
Read 2 more answers
Which polynomial is prime? x3 + 3x2 – 2x – 6 x3 – 2x2 + 3x – 6 4x4 + 4x3 – 2x – 2 2x4 + x3 – x + 2
alexandr1967 [171]
D. 2x4+x3–x+2 <span>is prime</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • I think it's a-b squared.
    5·1 answer
  • A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce
    9·2 answers
  • The carnival committee has purchased 985 small prizes. The prizes are to be divided equally among the 29 game booths
    8·1 answer
  • The function f(x)=4(2)^x represent the number of people who share a cat video x hours after it first appears on a website. How d
    12·2 answers
  • (Congruent polygons)
    8·1 answer
  • Please help with this
    12·2 answers
  • Please help! I’ll mark you as brainliest if correct!!!
    12·2 answers
  • How do you solve this problem?
    12·1 answer
  • The farmer says the corn is almost ready to​
    10·1 answer
  • What is the distance between 3x - 5y + 3 =0 and 6x - 10y -12 =0
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!