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
viva [34]
3 years ago
8

Find two unit vectors orthogonal to a=⟨−2,−4,−2⟩a=⟨−2,−4,−2⟩ and b=⟨−3,5,2⟩b=⟨−3,5,2⟩ Enter your answer so that the first non-ze

ro coordinate of the first vector is positive. First Vector: ⟨⟨ , , ⟩⟩ Second Vector: ⟨⟨ , , ⟩⟩ Note: You can earn partial credit on this problem.
Mathematics
1 answer:
Levart [38]3 years ago
7 0

Answer:

u₁= ⟨1/(7*√3),−5/(7*√3) ,−11/(7*√3)⟩

u₂= ⟨-1/(7*√3),5/(7*√3) ,11/(7*√3)⟩

Step-by-step explanation:

for  a=⟨−2,−4,−2⟩ and b=⟨−3,5,2⟩

a vector orthogonal to a and b can be found through the vectorial product of a and b. Thus

c= a x bc=\left[\begin{array}{ccc}i&j&k\\-2&-4&-2\\-3&5&2\end{array}\right] =  \left[\begin{array}{ccc}-4&-2\\5&2\end{array}\right]*i+\left[\begin{array}{ccc}-2&-2\\-3&2\end{array}\right]*j+\left[\begin{array}{ccc}-2&-4\\-3&5\end{array}\right]*k = 2*i  -10*j  - 22*k

then c₁=⟨2,−10,−22⟩ and c₂= - c₁= ⟨-2,10,22⟩ are orthogonal to a and b

the corresponding unit vectors are

u₁=c₁/|c₁| = ⟨2,−10,−22⟩ / √(2²+(−10)²+(−22)²) = ⟨2,−10,−22⟩/(14*√3) =  ⟨1/(7*√3),−5/(7*√3) ,−11/(7*√3)⟩

then u₂= - u₁=  ⟨-1/(7*√3),5/(7*√3) ,11/(7*√3)⟩

then the unit vectors are

u₁= ⟨1/(7*√3),−5/(7*√3) ,−11/(7*√3)⟩

u₂= ⟨-1/(7*√3),5/(7*√3) ,11/(7*√3)⟩

You might be interested in
Help me pleasee and also could you explain bc im so confused​
Rufina [12.5K]
What the person said up above should be correct!
3 0
2 years ago
Figure TUVW ≅ figure ABCD, AB = 12, CD = 6, and DA = 4.
Olegator [25]
The measure of VW is 6. It's because since the figures are congruent their names are written in correspondence ....so since VW corresponds to CD , the answer must be 6.
6 0
3 years ago
Read 2 more answers
Sally had 10 peaches left at are roadside fruit stand. she went to the Orchard and picked more peaches to stock up at the stand
Diano4ka-milaya [45]

Answer:73-10

Step-by-step explanation:

8 0
3 years ago
What is the area of a cirle of radius r? use r for the radius and pi for π. for help on entering a symbolic answer click on the
OlgaM077 [116]
I was stuck on the same thing in my class test. I ended up failing but if I get the answers to it I’ll totally send them to you!!!
7 0
2 years ago
⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP PLEASEEEE I
ser-zykov [4K]

Answer:

im stuck on that too man

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Lars is planning to purchase a home. He has been approved for a $420,000, 20-year mortgage with an APR of 5.125%.
    6·1 answer
  • The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 13 x - x2. What
    6·1 answer
  • The linear function is represented by the equation y= -3/5x-2. What can be determined of this equation written in slope-intercep
    8·1 answer
  • Belle inherited an antique teapot from her grandmother. The teapot's current value is $30 and
    5·1 answer
  • 1.Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale.
    12·1 answer
  • Which describes how triangle could be transformed to triangle F’G’H’ in two steps? Which identifies the transformation that occu
    7·1 answer
  • Question of
    6·1 answer
  • I've asked this question 3 times. HELP!!!!!
    12·2 answers
  • Match each of the terms listed on the left with exactly one best description from the column on the right geometry
    13·1 answer
  • What is the equation of the line that passes through the point (- 2, - 1) and has a slope of 5/2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!