Pleas. Can you help me with this problem. Thanks.

20 points!!! Find the volume of these figures

Rufina [12.5K]

Answer:

Its only 10 points

Step-by-step explanation:

7 0

3 years ago

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Find a decomposition of a=⟨−5,−1,1⟩ into a vector c parallel to b=⟨−6,0,6⟩ and a vector d perpendicular to b such that c+d=a.

dezoksy [38]

The projection of vector A parallel to vector B is $\langle -3, 0, 3\rangle$ and the projection of vector A perpendicular to vector B is $\langle -2, -1, -2\rangle$ .

In this question, we need to determine all projections of a vector with respect to another vector. In this case, the projection of vector A parallel to vector B is defined by this formula:

$\vec a_{\parallel , \vec b} = \frac{\vec a \,\bullet\,\vec b}{\|\vec b\|^{2}}\cdot \vec b$ (1)

Where $\|\vec b\|$ is the norm of vector B.

And the projection of vector A perpendicular to vector B is:

$\vec a_{\perp, \vec b} = \vec a - \vec a_{\parallel, \vec b}$ (2)

If we know that $a = \langle -5, -1, 1 \rangle$ and $\vec b = \langle -6, 0, 6 \rangle$ , then the projections are now calculated:

$\vec a_{\parallel, \vec b} = \frac{(-5)\cdot (-6)+(-1)\cdot (0)+(1)\cdot (6)}{(-6)^{2}+0^{2}+6^{2}} \cdot \langle -6, 0, 6 \rangle$

$\vec a_{\parallel, \vec b} = \frac{1}{2}\cdot \langle -6, 0, 6 \rangle$

$\vec a_{\parallel, \vec b} = \langle -3, 0, 3\rangle$

$\vec a_{\perp, \vec b} = \langle -5, -1, 1 \rangle - \langle -3, 0, 3 \rangle$

$\vec a_{\perp, \vec b} = \langle -2, -1, -2\rangle$

The projection of vector A parallel to vector B is $\langle -3, 0, 3\rangle$ and the projection of vector A perpendicular to vector B is $\langle -2, -1, -2\rangle$ .

We kindly invite to check this question on projection of vectors: brainly.com/question/24160729

7 0

3 years ago

PLSSS If you spin the spinner 10 times, what is the best prediction possible for the number of times it will land on pink?

Anestetic [448]

Answer:

3 times

Step-by-step explanation:

Probability of landing on pink:

P(pink) = number of pink / total number = 3/10

If spun 10 times then possible outcomes with pink:

3/10*10 = 3 times

4 0

3 years ago

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Plzzz helppp me!!!!!!!!!!!!!

GREYUIT [131]

Answer:

a) We can just add Distance from Tulsa to Dallas and distance from Dallas to Houston,

258 + 239 = 497

b) It's the same distance = 497

c) We can tell its the same distance, because we are travelling in the same road, which would mean it would be no different when going to or coming back from Houston.

4 0

3 years ago

determina la medida de cada ángulo identificado con las expresiones algebraicas, si se conoce que l y m son líneas paralelas (2x

Wewaii [24]

Answer:

I don't know what you're saying but the answer is 6x^2+93x+162

Step-by-step explanation:

6 0

4 years ago