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
vova2212 [387]
3 years ago
13

Given two vectors a⃗ =−2.00i^+3.00j^+4.00k^ and b⃗ =3.00i^+1.00j^−3.00k^. Obtain a unit vector perpendicular to these two vector

s. Express your answer as a unit vector n^ in the form nx, ny, nz where the x, y, and z components are separated by commas.
Mathematics
1 answer:
Illusion [34]3 years ago
6 0

we are given two vectors as

a=-2i+3j+4k

b=3i+1j-3k

now, we can find cross product

aXb=(-2i+3j+4k)X(3i+1j-3k)

=\begin{pmatrix}3\left(-3\right)-4\times \:1&4\times \:3-\left(-2\left(-3\right)\right)&-2\times \:1-3\times \:3\end{pmatrix}

aXb=-13i+6j-11k

|aXb|=\sqrt{(-13)^2+(6)^2+(-11)^2}

|aXb|=\sqrt{326}

now, we can find normal unit vector

n=\frac{aXb}{|aXb|}

now, we can plug values

n=\frac{(-13i+6j-11k)}{\sqrt{326}}

n=\frac{-13}{\sqrt{326}}i+\frac{6}{\sqrt{326}}j-\frac{11}{\sqrt{326}}k

now, we can find components

n_x=\frac{-13}{\sqrt{326}},n_y=\frac{6}{\sqrt{326}}j,n_z=-\frac{11}{\sqrt{326}}

...............Answer

You might be interested in
I need help please!!!!
zaharov [31]

Answer:

  (c)  y -2 = 6/5(x -1)

Step-by-step explanation:

The equations are all in point-slope form with a slope of 6/5. The points used are (-1, -2), (-2, -1), and (1, 2). It seems point (1, 2) best matches a point on the graphed line. Choice C is the best. (In the attached graph, choice C is the red line.)

_____

<em>Additional comment</em>

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

__

The equation might be easier to see if the point chosen were one at a grid intersection, such as (-4, -4) or (6, 8).

8 0
2 years ago
Plss i really need answer urgently asap​
Misha Larkins [42]

Answer:

i have no clue

Step-by-step explanation:

4 0
3 years ago
What is a equivalent fraction for 6/8
Paladinen [302]

Answer:

3/4, 12/16

Step-by-step explanation:

times two or divide two

5 0
3 years ago
Read 2 more answers
Mike has 3 orange picks for every 2 green picks. If their are 25 picks in all , how many picks are orange
s2008m [1.1K]

so every 3 orange picks there are 2 green picks so 6 orange picks leads to 4 green pick and just keep adding to each side. 9 orange picks is 6 green picks, 12 orange picks is 8 green picks. Therefore you add 3 to 12 and get 15 which means 15 orange picks is your answer.

3 0
3 years ago
If z = 2, find the value of: a. 6z2–2z+5<br> b. 64–5z
Ludmilka [50]

Answer:

25 and 54

Step-by-step explanation:

(a)

6z² - 2z + 5 ← substitute z = 2

= 6(2)² - 2(2) + 5

= 6(4) - 4 + 5

= 24 - 4 + 5

= 20 + 5

= 25

(b)

64 - 5z ← substitute z = 2

= 64 - 5(2)

= 64 - 10

= 54

4 0
2 years ago
Other questions:
  • Michelle has a piece of yarn measuring 7 yards. How many 1-inch strips can be cut from the yarn
    5·1 answer
  • Please show work on these questions!!!
    8·1 answer
  • Help pleaseeeeeee!!!
    9·1 answer
  • Which value of x makes the equation 2.75(2x - 14)= 5.55
    8·1 answer
  • Find f((1)/(3)) if f(n)=3n
    5·2 answers
  • A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 16 boxes of the c
    11·1 answer
  • JUST EXPLAIN HOW TO DO THIS IN THE BEST WAY POSSIBLE!
    8·2 answers
  • 9.476, 9.427, 9.43, 9.347, 9.4, 9.38<br><br> HELP ASAP<br><br><br> LESSER GREATER
    7·1 answer
  • YOO help me this is so hard.
    5·1 answer
  • Convert 10 grams into milligrams. There are 8,000 milligrams in 8<br> grams.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!