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3 years ago

What is 13/14+57/8 equally In fraction form

Mathematics

1 answer:

SpyIntel [72]3 years ago

6 0

Answer:

8 3/56

Step-by-step explanation:

8 whole number, 3 over 56

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compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.

Nina [5.8K]

$\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})$

We have been given two vectors $\vec{a}$ and $\vec{b}$ , we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of $\vec{b}$ onto $\vec{a}$ means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

#SPJ4

3 0

1 year ago

Eva wanted to fill bags with ¾ pounds of trail mix. She started with 11 ⅜ pounds but ate ⅛ pound before she started filling the

Len [333]

She fill 12 bags because if you take 3/4*11 3/8- 1/8=12

3 0

3 years ago

The monthly salary of a staff working in a doll shop is Rs. 7,500. She sold the dolls of Rs. 1,20,000 in a month. If she earned

Arte-miy333 [17]

Answer:

I think the equation is 12000=7500r

I think the rate of commission is 16

Step-by-step explanation:

hope this helps, and donate a brainliest if possible... thx

3 0

2 years ago

Read 2 more answers

Rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents.

SCORPION-xisa [38]

Answer:

Option 1

Step-by-step explanation:

Given : Function f of x equals 4 times one third to the 2 times x power.

To find : Rewrite the function using properties of exponents ?

Solution :

Writing the function in numeric terms,

f of x equals 4 times one third to the 2 times x power

i.e.

Solve the expression,

i.e. f of x equals 4 times one ninth to the x power.

7 0

3 years ago

F K = {(x, y) | x - y = 5}, is Set K a function?

muminat

Answer:

Yes, because the linear function x - y = 5 is a function

Step-by-step explanation:

x - y = 5 can look like y = x - 5 with slope 1 and y-intercept -5

so this is a function which makes set K a function.

3 0

3 years ago