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2 years ago

PARAMETRIC QUESTIONS!! HELP!

Mathematics

1 answer:

Ierofanga [76]2 years ago

3 0

I think it’s the first

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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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3 0

1 year ago

John has $50.00. He owes his friend Beth $100.00. He owes his mother 1/4 of the amount he owes Beth. How much more money dose Jo

Scorpion4ik [409]

Answer: He owes Beth and his mom $125

Step-by-step explanation:

8 0

3 years ago

7. Is a triangle with side lengths 9, 18, 7 a right triangle, an acute triangle, or

Reptile [31]

I think the answer is Obtuse

8 0

3 years ago

I need some help with this one question

monitta

Yo sup??

Number of goldfish=3

Number of turtles=1

Total number of pets=4

Fraction of goldfish=3/4

Therefore the correct answer is option 4

Hope this helps

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3 years ago

Philip did 14 setups on Monday 21 sit-ups on Tuesday and 28 sit-ups on Wednesday if the pattern continues how many sit-ups will

g100num [7]

So you add 7 every time so,

28+7=34
34+7=41

if he continues his pattern he will have done 41 sit-ups on Friday

7 0

3 years ago