10 Which table below represents the equation y = -x + 6?

Given two vectors a⃗ =4.00i^+7.00j^ and b⃗ =5.00i^−2.00j^ , find the vector product a⃗ ×b⃗ (expressed in unit vectors). what is

FinnZ [79.3K]

The vector product of $\boxed{a \times b = - 43\hat k}$ and the magnitude of $a \times b$ is $\boxed{43}.$

Further explanation:

Given:

Vector a is $\vec a = 4.00\hat i + 7.00\hat j.$

Vector b is $\vec b = 5.00\hat i - 2.00\hat j.$

Explanation:

The cross product of a \times b can be obtained as follows,

$\begin{aligned}a \times b &= \left| {\begin{array}{*{20}{c}}{\hat i}&{\hat j}&{\hat k} \\4&7&0\\5&{ - 2}&0 \end{array}}\right|\\&= \hat i\left( {0 - 0} \right) - \hat j\left( {0 - 0} \right) + \hat k\left( { - 9 - 35} \right)\\&= 0\hat i - 0\hat j - 43\hat k\\&= - 43\hat k\\\end{aligned}$

The vector can be expressed as follows,

$a \times b = - 43\hat k$

The magnitude of $a \times b$ can be obtained as follows,

$\begin{aligned}\left| {a \times b} \right| &= \sqrt {{0^2} + {0^2} + {{\left( { - 43} \right)}^2}}\\&= \sqrt {{{43}^2}}\\&= 43\\\end{aligned}$ 43404

The vector product of $\boxed{a \times b = - 43\hat k}$ and the magnitude of $a \times b$ is $\boxed{43}.$

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Vectors

Keywords: two vectors, vector product, expressed in unit vectors, magnitude, vector a, vector b, a=4.00i^+7.00j^, b=5.00i^-2.00j^, unit vectors, vector space.

8 0

3 years ago

Read 2 more answers

Which answer is right? Plz help

sergij07 [2.7K]

Answer: C

I think I really hope I’m right!

Step by step explanation:

5 0

3 years ago

Choose ALL that apply

HACTEHA [7]

The ratios that have a unit rate of 5 will be:

6 1/4 kilometers to 1 1/4 minutes.

1 kilometer to 1/5 minutes

1/3 kilometers to 1 2/3 minutes

<h3>How to calculate the value?</h3>

The ratios will be:

1. 6 1/4 to 1 1/4

= 6.25 : 1.25

= 5

2. 4 1/2 to 2

= 4 1/2 / 2

= 2.25

3. 4/5 to 5 minutes

4. 1 kilometer to 1/5 minutes

= 1 : 1/5

= 1 / 0.2

= 5

5. 3 1/10 : 3/10

= 10

6. 1/3 : 1 2/3

= 5

Therefore, the correct options are 1, 4 and 6.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

7 0

1 year ago

Enid has £300 in his saving account his bank offers him a fixed 5% simply interest rate per annum for a period of three years ho

xenn [34]

Answer:

The interest will be £45 after 3 years

and £60 after 4 years

Step-by-step explanation:

Principal p = £300, rate r = 5%, time t = 3 year

SI = PRT/100

Interest = (300*5*3)/100

SI = 3*5*3

SI = £45

And after 4 years

Interest = (300*5*4)/100 = 3*5*4

Interest = £60

8 0

4 years ago

What is<br> -2.3 -<br> (4.5 – 3)?<br> 2.3<br> 1.3<br> 10.3<br> -3.3

sattari [20]

Answer:

-3.3

Step-by-step explanation:

I had to take a second look because the image and the description wasn't the same, but after simplifying the value, i got -3.3

4 0

3 years ago