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3 years ago

Can someone help me solve this

Mathematics

1 answer:

Valentin [98]3 years ago

8 0

Answer:

Yup! There are 6 possible 0s, 4 actual 0s, and the factored form is -2x^5-6

Step-by-step explanation:

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Pleaseeeee pleaseeee helppppppppp

telo118 [61]

Given:

The two vectors are:

$\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}$

$\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}$

To find:

The value of $|\overrightarrow{a}\times \overrightarrow{b}|$ .

Solution:

We have,

$\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}$

$\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}$

The cross product of these two vectors is:

$\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}$

$\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)]$

$\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1]$

$\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}$

Now the magnitude of the cross product is:

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}$

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}$

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}$

Therefore, the value of $|\overrightarrow{a}\times \overrightarrow{b}|$ is $\sqrt{110}$ .

5 0

3 years ago

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that

Bogdan [553]

Answer:

-1.378

Step-by-step explanation:

See the attached information

Download pdf

5 0

4 years ago

I need help with this plz and thank you

fgiga [73]

Answer:

The answer is: w = − 30

6 0

3 years ago

The measures of two complementary angles are 4x+6 and 5x+3. Find x.

Juliette [100K]

4x + 6 + 5x + 3 = 90

9x +9 = 90

( Subtract 9 from 9 and 90 )

9x = 81

( Divide 9x and 81 by 9 )

x = 9

Hope this helps.

6 0

3 years ago

A system of equations has no solution. if y=8x+7

Black_prince [1.1K]

And y=8x+c where c≠7
or
8x-y=-c where c≠7

3 0

4 years ago