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son4ous [18]
2 years ago
8

Linear equation 3+X=-2 ​

Mathematics
2 answers:
quester [9]2 years ago
5 0

Answer:

-5

Step-by-step explanation:

1 Subtract 3 from both sides.

x=-2-3

2 Simplify -2 -3 to -5

x=-5

lyudmila [28]2 years ago
4 0

Answer:

x = -5 ​

Step-by-step explanation:

3+X=-2 ​

Subtract 3 from each side

3-3+X=-2-3

x = -5 ​

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compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.
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\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
Lily babysits on the weekends. She
Anastaziya [24]

Answer: She babysat 7 hours

Step-by-step explanation:if you take the knowledge you have; she charges 6$ per hour. and lily mad 42$ you can divide 42 by 6 to get the answer of 7

8 0
2 years ago
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J 4 + 14 = 18 j = what
aliya0001 [1]

Answer:

j = 1

Step-by-step explanation:

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3 0
3 years ago
What is 10^0+10^1+10^2=​
Komok [63]

\text{Hey there!}

\bf{10^0+10^1+10^2}\\\\\bf{10^0=1}\\\\\bf{10^1=10}\\\\\bf{10^2=10\times10\rightarrow100}\\\\\bf{1+10+100}\\\\\bf{1 + 10 = 11}\\\\\bf{11 + 100=111}\\\\\boxed{\boxed{\bf{Answer: 111}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

5 0
3 years ago
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