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4 years ago

Adam is 10 years old. Mr. Collins is 3 times as old as Adiam. Which model

Mathematics

1 answer:

dezoksy [38]4 years ago

8 0

Answer:

The age of Mr. Collins is 30 years and

The model which represent the problem is, The age of Mr. Collins is 3 × 10

Step-by-step explanation:

Given as :

The age of Adam = 10 years

The age of Mr. Collins = x years

The age of Mr. Collins = 3 times the age of Adam

Or, x = 3 × The age of Adam

Or, x = 3 × 10

∴ x = 30

So, The age of Mr. Collins = x years = 30 years

The model which represent the problem is, The age of Mr. Collins = 3 × 10

Hence The age of Mr. Collins is 30 years and

The model which represent the problem is, The age of Mr. Collins = 3 × 10

Answer

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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 $\boxed{43}.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

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.

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Step-by-step explanation:

if I understand you correctly, then the 3 sides are

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Andreyy89

Answer:

The sides of the first quadrilateral are 60 in, 40 in, 30 in and 12,5 in

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Step-by-step explanation:

we know that

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