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3 years ago

Francis is 9 years older than Vincent. Francis is 17 years old. Let v represent how old Vincent is.

Mathematics

2 answers:

Marysya12 [62]3 years ago

7 0

Its b because since vincent is 9 years younger so just subtract 9 from the age and voila

baherus [9]3 years ago

5 0

Wait should we be adding cause if u add idk what it will get that is high school stuff

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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

Hello !!!!!!Please help me ASAP

andriy [413]

Answer:

Step-by-step explanation:

I hope this helped you out

5 0

3 years ago

A proportional relationship is a linear relationship because the rate of change is constant(and equal to the constant of proport

Sophie [7]

The thing that is required for a <span>proportional relationship would be that no matter what the order of the relationship is, it should be that if the function of x increases then x would increases as well or vice versa. Hope this helps. Have a nice day. Feel free to ask more questions. </span>

7 0

3 years ago

Read 2 more answers

For which equation would n = 0 not be a solution?

4vir4ik [10]

For the first equation n + 4 = 5, because 0 + 4 is not equal 5

5 0

3 years ago

If you can help me it will mean a lot.

Assoli18 [71]

Answer:

y - -x + 2.

Step-by-step explanation:

The line passes through (0, 2) and 5, 1) so it slope = (1-2) / (5-0)

= -1 and the y-intercept is at y = 2 so the equation is

y - -x + 2.

3 0

3 years ago