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Anvisha [2.4K]
2 years ago
14

Find a vector of magnitude 3 in the direction of v = 10i - 24k. The vector is Oi-Oj+k (Simplify your answer. Use integers or fra

ctions for any numbers in the expression).
Mathematics
1 answer:
Soloha48 [4]2 years ago
6 0

Given :

A vector v = 10i - 24k.

To Find :

A vector of magnitude 3 in the direction of v = 10i - 24k.

Solution :

Unit vector in the direction  of vector v is :

\^{v}=\dfrac{v}{|v|}\\\\\^{v}=\dfrac{10i-24k}{\sqrt{10^2+24^2}}\\\\\^{v}=\dfrac{10i-24k}{26}

Now , vector of magnitude 3 in direction v is :

r=3 \^{v}\\\\r=3\times \dfrac{ (10i-24k)}{26}\\\\r=\dfrac{3}{13} (5i-12k)

Hence , this is the required solution .

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The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the
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Assuming that by "16t2" you mean 16t^2:


First of all, let's compute the position at the two required times:


d(2)=16\cdot 2^2 = 16*4 = 64


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So, the ball traveled a total distance of \Delta d = 400-64 = 336, during the time \Delta t = 5-2 = 3.


The average rate of change is the ratio between these two:


\frac{\Delta d}{\Delta t} = \frac{336}{3} = 112

3 0
3 years ago
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3 years ago
For f(x)=4x+1 and g(x) = x2-5, find (f+g)(x)<br> A. x2+4x-4 B. x2+4x+6 C. 4x2-19 D. 4x3-4
makvit [3.9K]

Answer:

A

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5 0
3 years ago
-3/v=-6 simply as much as possible
Aleksandr [31]
Hey!


In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

<em>Original Equation :</em>
\frac{-3}{v} = -6

<em>New Equation {Added Multiply Both Sides by V} :</em>
\frac{-3}{v} v=-6v

<em>Solution {New Equation Solved} :</em>
-3 = -6v

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

<em>Old Equation :</em>
-3 = -6v

<em>New Equation {Switched} :</em>
-6v=-3

Now we'll divide both sides by v to get v on its own.

<em>Old Equation :</em>
-6v = -3

<em>New Equation {Added Divide Both Sides by V} :</em>
\frac{-6v}{v} = \frac{-3}{v}

<em>Solution {New Equation Solved} :</em>
v =  \frac{1}{2}

<em>So, this means that in the equation \frac{-3}{v} =-6,</em>  v =  \frac{1}{2}.

Hope this helps!


- Lindsey Frazier ♥
3 0
3 years ago
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