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2 years ago

Help me solve for x

Mathematics

1 answer:

Serjik [45]2 years ago

5 0

Answer:

x=26

Step-by-step explanation:

4x+4+4x-32=180

8x-28=180

8x=180+28

x=26

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I can't figure out how to do (i + j) x (i x j)for vector calc

Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

$\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}$

Then, solving the determinant

$\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}$

In our case,

$\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}$

Where we used the formula for AxB to calculate ixj.

Finally,

$\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}$

Thus, (i+j)x(ixj)=i-j

8 0

1 year ago

(-7a+7b-1)-(a+8) find the difference

aalyn [17]

Answer: -8a+7b-9

Step-by-step explanation:

(-7a+7b-1)-(a+8)

-7a+7b-1-a-8 (distributive property)

-8a+7b-9 (combine like-terms)

8 0

4 years ago

Read 2 more answers

Can someone pl help. Thx

kakasveta [241]

Answer:

3.10?

Step-by-step explanation:

i dont know sorry if its wrong

7 0

3 years ago

Which is the least number?<br> A. −1.4 <br> B. −138 <br> C. −1.3 <br> D. −54

pychu [463]

Answer: B. -138

Step-by-step explanation:

For Negative numbers, the largest number is the least. I. This case, -138 is the least.

Hope it helps!

6 0

2 years ago

What is the volume of the cone in the diagram?

topjm [15]

Answer:

471.24

Step-by-step explanation:

V=πr2h/3

radius = 5 and length = 18

answer = 471.24

please mark me brainliest!!

3 0

3 years ago

Help me solve for x​

Help me solve for x