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
Solve: x^4-34x^2=-225
dangina [55]
X
4
−34x
2
+225=0

2 Factor
x
4
−
34
x
2
+
225
x
4
−34x
2
+225.
(
x
2
−
25
)
(
x
2
−
9
)
=
0
(x
2
−25)(x
2
−9)=0

3 Solve for
x
x.
x
=
±
5
,
±
3
x=±5,±3
8 0
3 years ago
Divide 6K2 - 15k-5 by 3k​
icang [17]

Answer:

Step-by-step explanation:

6k^2

------- = 2k; and:

 3k

-15k

------- = -5

 3k

-5 cannot be evenly divided by 3k, so there's a remainder instead.

6k^2 - 15k - 5

-------------------- = 2k -5 with remainder -5.

         3k

4 0
3 years ago
Read 2 more answers
1
kvv77 [185]

Answer:

so the right answer is of option D

Step-by-step explanation:

Have a great day and hope this helps!!!

7 0
2 years ago
The perimeter of a rectangular slab of concrete is 24 meters. If the length of the
sergejj [24]

perimeter = 2L +2W

the problem states the length ( L) is 2 meters longer then width, so L = w+2

so perimeter =2(w+2) +2w

24 = 2(w+2) +2w

24 = 2w+4 +2w

24 = 4w+4

20=4w

w=20/4 = 5

3 0
3 years ago
Find each sum or difference
alexdok [17]
The P is 16x^2 -12 and Perimeter is the distance around the edge of a shape. So you divide your equation by 4 and the answer you get is 4x^2 - 3
5 0
3 years ago
Read 2 more answers
Other questions:
  • Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 8 (a) Find the open interval(s) on which the function is i
    14·1 answer
  • Can you help me please now
    5·1 answer
  • What is 3627×673:(876)?
    10·2 answers
  • HELP! WILL MARK BRAINLIEST WITH A EXPLANATION!!!!please & thank u
    14·1 answer
  • A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is th
    8·1 answer
  • Scientist Asterix uses 19 base number system. Which
    9·2 answers
  • Im confusedd, please help??
    10·1 answer
  • What does 2x-y^3 equal?
    10·1 answer
  • Can someone help pls
    14·2 answers
  • Please help!! im confused
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!