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3 years ago

ɢʀᴀᴅᴇ 8 ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs ᴍᴇᴍᴏʀᴀɴᴅᴀᴍ

Mathematics

2 answers:

DIA [1.3K]3 years ago

7 0

Answer:

can u attach a question its not there

Gnom [1K]3 years ago

6 0

Answer:

Questions please!

Step-by-step explanation:

~Zayn

You might be interested in

How do you divide fractions

Igoryamba

1. Reverse the numerator and denominator of the second fraction and change the division sign to a multiplication sign

2. Multiply the 2 fractions (By multiplying the numerators and the denominators).

3. Simplify is necessary.

Hope this helped!

6 0

4 years ago

g find the 2 components of vector b = 2i + j - 3k, one parallel to a = 3i - j and another one perpendicular to a

nika2105 [10]

Answer:

The components of $\vec{b}$ parallel and perpendicular to $\vec {a}$ are $\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j$ and $\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k$ , respectively.

Step-by-step explanation:

Let be $\vec b = 2\,i+j-3\,k$ and $\vec a = 3\,i-j$ , the component of $\vec b$ parallel to $\vec a$ is calculated by the following expression:

$\vec b_{\parallel} = (\vec b \bullet \hat{a}) \cdot \hat{a}$

Where $\hat{a}$ is the unit vector of $\vec a$ , dimensionless and $\bullet$ is the operator of scalar product.

The unit vector of $\vec a$ is:

$\hat{a} = \frac{\vec {a}}{\|\vec a\|}$

Where $\|\vec {a}\|$ is the norm of $\vec a$ , whose value is determined by Pythagorean Theorem.

The component of $\vec{b}$ parallel to $\vec {a}$ is:

$\|\vec {a}\| = \sqrt{3^{2}+(-1)^{2}+0^{2}}$

$\|\vec {a}\| = \sqrt{10}$

$\hat{a} = \frac{1}{\sqrt{10}} \cdot (3\,i-j)$

$\hat{a} = \frac{3}{\sqrt{10}}\,i -\frac{1}{\sqrt{10}} \,j$

$\vec{b}\bullet \hat{a} = (2)\cdot \left(\frac{3}{\sqrt{10}} \right)+(1)\cdot \left(-\frac{1}{\sqrt{10}} \right)+(-3)\cdot \left(0\right)$

$\vec b \bullet \hat{a} = \frac{5}{\sqrt{10}}$

$\vec b_{\parallel} = \frac{5}{\sqrt{10}}\cdot \left(\frac{3}{\sqrt{10}}\,i-\frac{1}{\sqrt{10}}\,j \right)$

$\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j$

Now, the component of $\vec {b}$ perpendicular to $\vec{a}$ is found by vector subtraction:

$\vec{b}_{\perp} = \vec {b}-\vec {b}_{\parallel}$

If $\vec b = 2\,i+j-3\,k$ and $\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j$ , then:

$\vec{b}_{\perp} = (2\,i+j-3\,k)-\left(\frac{3}{2}\,i-\frac{1}{2}\,j \right)$

$\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k$

4 0

3 years ago

The gas gauge of Elaine's car showed that the gas tank was 68 full. The gas tank of her car holds 12 gallons of gasoline. How ma

Reptile [31]

Answer:

I think its 5.6

Step-by-step explanation:

68 divided by 12

5 0

3 years ago

Read 2 more answers

What is the value of the digit nine in the number 197,184

Levart [38]

The value of the digit nine in the number 197,184 is 90,000

6 0

4 years ago

Convert 77 degrees in Fahrenheit to Celsius temperature using the formula . 72°C 61°C 35°C 25°C

faust18 [17]

Answer:

25º celsius

Step-by-step explanation:

The formula for converting fahrenheit to celsius is: Deduct 32, then multiply by 5, then divide by 9

77 - 32 = 45 x 5 = 225/9 = 25º

8 0

3 years ago

ɢʀᴀᴅᴇ 8 ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs ᴍᴇᴍᴏʀᴀɴᴅᴀᴍ ​

ɢʀᴀᴅᴇ 8 ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs ᴍᴇᴍᴏʀᴀɴᴅᴀᴍ