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
CAN SOMEBODY PLZZZZZZZ HELP ME I WILL GIVE YOU BRAINLY IF YOU ANSWER IT CORRECTLY AND HALF MY POINTS IF YOU ANSWER THIS QUESTION
Nadusha1986 [10]

30

Factors of 30 are

3,5, and 6

6 0
3 years ago
Read 2 more answers
Select the graph of the solution. Click until the correct graph appears.<br><br> |x| = 3
shtirl [24]
The correct graph is the third one, with the solid dots at -3 and 3.

The bars around x stand for absolute value, which is defined as the distance a number is from 0.  We want to know what number or numbers is/are 3 units away from 0 on a number line; the only choices are 3 or -3. 

This means we must plot points at -3 and 3.  They must be solid points, since these numbers are included in the solution (they are, in fact, the only ones of the solution).
4 0
3 years ago
In a college of exactly 2660 students, exactly 60 % are male. what is the number of female students?
garik1379 [7]
If 60% out of the 2,660 students are males, then
40% out of t<span>he same 2,660 students are females

Ten the number of females is 40% x 2660 = 0.4 x 2660 = 1,064 females</span>
5 0
3 years ago
Let f(x) = 3x2 - 20x + 25 and g(x)=x-5. Perform the function operation and then find the domain of the result.
liq [111]

Answer:

I don't know

Step-by-step explanation:

ooooooooooooooook

6 0
3 years ago
A bakery display their cookies equally on 7 trays. if there are 567 cookies, how many cookies are on each tray
vagabundo [1.1K]
To know how many correspond to each tray if we divide the total cookies equally, we need to make a division of the total cookies divided by the amount of trays, that is:
567 cookies / 7 trays = 567/7
= 81
therefore, there will be 81 cookies in each tray
8 0
3 years ago
Read 2 more answers
Other questions:
  • The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and
    13·2 answers
  • The mean number of sick days taken by the employees of Company A is 9, with the number of days taken ranging from 0 to 16. The m
    12·1 answer
  • Which of the following trigonometric inequalities has no solution over the interval 0 ≤ x ≤ 2pi radians?
    9·1 answer
  • Question 7 (1 point)
    8·2 answers
  • Select the property of equality used to arrive at the conclusion
    14·2 answers
  • a localiddle school has 47 computers and 174 students. what is the number of students per computer at the school ? express your
    13·1 answer
  • A babysitter earns the same amount per hour. She earned $36 for 3 hours of babysitting. Which equation describes the relationshi
    7·1 answer
  • Please help thank u
    15·1 answer
  • PLS HELP ME PLS whats 2x6x8 (5/8)
    7·2 answers
  • Help please asap and or ill eat your mom
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!