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3 years ago

14

HELP PLEASE THANK YOU SO MUCH BRAIN FOR CORRECT

2 answers:

Anit [1.1K]3 years ago

6 0

Answer:

Only A

Step-by-step explanation:

If you plug in x or y into the equation, only (2, 3) works

swat323 years ago

3 0

Answer:

A: Only (2,3)

Step-by-step explanation:

1. 3-3 = 5(2-2) WORKS! (2,3)

2. 2-3 = 5(3-2) Does not work :(

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

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

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olga2289 [7]

Answer:

12

Step-by-step explanation:

Write down multiples of each number:

3, 6, 9, 12 . . .

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