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3 years ago

6

Find the length of the vector V = || 2 3 1 ||- Ensure that you use at least 4 decimal place accuracy or exact values when enteri

ng your answer.

1 answer:

Ierofanga [76]3 years ago

3 0

Answer:

Length = 3.7416

Step-by-step explanation:

The lenght of a 3D vector is given by the formula below:

L = sqroot(x^2+y^2+z^2)

Replace the data you have in the formula and you have:

L = Sqroot(2^2 + 3^2 + 1^2)

L=3.7416

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3 years ago

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the product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can

alexandr1967 [171]

Required equation to determine two consecutive even number is $x^{2}-16=0$ and required numbers are 4 and 6.

<u>Solution:</u>

Given that product of two consecutive positive integer is 14 more that their sum. Need to create the equation and solve it to get two numbers.

Let’s assume first even number be represented by x.

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Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

$\begin{array}{l}{\Rightarrow\left(x^{2}+2 x\right)-14=2 x+2} \\\\ {=>x^{2}+2 x-2 x-14-2=0} \\\\ {\Rightarrow x^{2}-16=0} \\\\ {\Rightarrow x^{2}-4^{2}=0} \\\\ {\Rightarrow x^{2}=4^{2}} \\\\ {\Rightarrow x=4}\end{array}$

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