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ankoles [38]
4 years ago
15

Consider two vectors A and B A=14i and B= -4i+8j

Mathematics
1 answer:
DaniilM [7]4 years ago
4 0
Assuming \mathbf a,\mathbf b\in\mathbb R^3, you have

\mathbf a\cdot\mathbf b=(14)(-4)+(0)(8)=-56

so

((\mathbf a\cdot\mathbf b)\,\mathbf i)\cdot\mathbf a=(-56\,\mathbf i)\cdot(14\,\mathbf i)=(-56)(14)=-784

Next,

\mathbf a+\mathbf b=(14\,\mathbf i)+(-4\,\mathbf i+8\,\mathbf j)=10\,\mathbf i+8\,\mathbf j

Then

(\mathbf a+\mathbf b)\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\10&8&0\\-4&8&0\end{vmatrix}=112\,\mathbf k

((\mathbf a+\mathbf b)\times\mathbf b)\times\mathbf k=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\0&0&112\\0&0&1\end{vmatrix}=\mathbf 0
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Round 0.185309 to 2 SF​
balu736 [363]

Answer:

0.19

Step-by-step explanation:

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3 years ago
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What is the standard form of (2-4i)(3+5i) divided by (3+i)
jasenka [17]
First we need to simplify the numerator of the fraction

(2 - 4i)(3 + 5i)
= 6 +10i - 12i - 20i²
= 6 - 2i + 20
= 26 - 2i

So now the fraction becomes:

\frac{26-2i}{3+i}

In order to convert the fraction to standard form, we need to multiply and divide the fraction by the conjugate of the denominator as shown below:

\frac{26-2i}{3+i}* \frac{3-i}{3-i}   \\  \\ 
= \frac{78-26i-6i+2i^{2} }{9-i^{2} } \\  \\ 
= \frac{78-32i-2}{9+1} \\  \\ 
= \frac{76-32i}{10} \\  \\ 
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4 0
3 years ago
the size of Minnesota is 8.69×10^4 square miles. the size of wisconsin is 65,500 square miles. how many times greater is the siz
Alexxandr [17]

Answer:

Step-by-step explanation:

Minnesota: 86900 square miles

Wisconsin: 65000 square miles.

Net form

86900 - 65000 = 21900 square miles.

Standard Form

86900/65000 = 1.33

Minnesota is 1.33 times as large as Wisconsin.

Scientific notation

1.33 * 10^0

Minnesota is still 1.33 times as large as Wisconsin

5 0
3 years ago
In 1935 american athlete jesse owens set a world record for the long jump by jumping 26ft 8 1/6 in.In 1960 ralph boston set a ne
shtirl [24]

Step 1

Subtract 26 ft 8 1/6 in from 26 ft 11 1/4 in

(26 ft 11 1/4 in)-(26 ft 8 1/6 in)=11 1/4 in-8 1/16 in

we know that

11 1/4=(11*4+1)/4=45/4

8 1/16=(8*16+1)/16=129/16

so

11 1/4 in-8 1/16 in=(45/4)-(129/16)

=(4*45-129)/16

=51/16 in--------> 3 3/16 in

therefore

<u>the answer is</u>

3 3/16 in

4 0
4 years ago
Do I do KFC on this question? If not what do I do??
nataly862011 [7]

Answer:

uh its KCF not KFC, and yes

Step-by-step explanation:

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