I need help and please show work

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

Levart [38]

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

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)⟩

7 0

4 years ago

Why do internal users need financial data? A. to make business decisions and compare business performance with previous years B.

adell [148]

Answer:

Internal users refer to management members of a company and other people who use financial information to run and manage the business

Explanation:

They work within the business and make business decisions. Accounting information is important for all management levels. In order to make decisions about the company's future, the top managers need information about the past performance of the company.

To determine the results of their past decisions, they need data. The financial statements will determine the company's performance and its financial position and guide them in making future decisions.

8 0

3 years ago

Read 2 more answers

GIVING BRAINLIEST TO WHOEVER IS CORRECT!!! PLEASE HURRY!!

ANEK [815]

$Hello$ $There!$

The answer is...

$\frac{1}{6}.$

Hopefully, this helps you!!

$AnimeVines$

3 0

3 years ago

If 3x + 28 = 46 what is the value of 2x + 6. x = 2x + 6 =

Pavlova-9 [17]

Answer:

2x +6

Step-by-step explanation:

if you are given a question like this u will leave it like that because maybe the question is wrong

6 0

3 years ago

Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 E

gtnhenbr [62]

The correct question as understood from the statement is:

Determine which equations have the same solution set as 2/3 – x + 1/6 = 6x by recognizing properties, rather than solving. Check all that apply.

a) 4 - 6x + 1 = 36x

b) 5/6 - x = 6x

c) 4 - x + 1 = 6x

d) 5/6 + x = 6x

e) 5 = 30x

f) 5 = 42x

Answer:

Options: a, b and f

Step-by-step explanation:

The given equation is:

$\frac{2}{3}-x+\frac{1}{6}=6x$

Adding x to both sides, we get:

$\frac{2}{3}+\frac{1}{6}=7x\\\\ \frac{4}{6}+\frac{1}{6}=7x\\\\ \frac{5}{6}=7x\\\\ 5=42x\\\\ x=\frac{5}{42}$

Option a) 4 - 6x + 1 = 36x

Moving 6x to the right hand side of the equation and simplifying the answer, would give us 5 = 42x, which is the same as the second last equation in above simplification. Thus this equation has the same roots.

Option b) 5/6 - x = 6x

Moving x to other side will give us the same equation as we got in 3rd last step of the above simplification. Thus this equation has the same roots.

Option c) 4 - x + 1 = 6x

Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root.

Option d) 5/6 + x = 6x

Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root.

Option e) 5 = 30x

This does not match with the second last step of the above simplification. So, this equation does not have the same root.

Option f) 5 = 42x

This equation matches with the second last step of the above simplification. Thus this equation has the same roots.

3 0

3 years ago

Read 2 more answers