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3 years ago

Can someone help me solve these 3 trig identity problems? I am stuck on these last 3... I will give brainliest!

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

Answer:

1. 1,246

2. 0,545

3. 0,9539

Step-by-step explanation:

semoga membantu :)

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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

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1 year ago

What happens when you multiply both numerator and denominator by 4?

Roman55 [17]

Answer:

The answer stays the same.

Step-by-step explanation:

For example, if you have 1/2 and multiply the numerator and the denominator by 4, you get 4/8. 4 divided by 8 still gives you 1/2.

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3 years ago

a crane lifts a 450 kg concrete to the top of a 50 m building in 5 s. assuming g=10 m/s² calculate a) the potential energy of th

Juliette [100K]

Answer:

Step-by-step explanation:

The work done changes the potential energy

ΔPE = mgΔh = 450(10)(50) = 225,000 = 225 kJ

power is the rate of doing work

P = 225000/5 = 45000 W = 45 kW

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3 years ago

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MA_775_DIABLO [31]

The answer will be -8+13

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3 years ago

A number, truncated to 1 dp, is equal to 11.9, what are the upper and lower bounds

Rom4ik [11]

I think the answer would be 11.85 11.94

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3 years ago