1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ANEK [815]
3 years ago
15

Find the angle θθ between the vectors v=2i+kv=2i+k, w=j−3kw=j−3k.

Mathematics
1 answer:
kaheart [24]3 years ago
4 0
Hello : 
v . w = <span>| | v | | × </span><span>| | w | |  cos(</span><span>θ) ....(1)
v(2,0,1)   w(0,1,-3)

</span>v . w = (2)(0)+(0)(1)+(1)(-3) = - 3
| | v | |  = √((2)²+(0)²+(1)²) = <span>√5
</span>| | w |  =  √((0)²+(1)²+(-3)²) = √10
by (1) : 
cos(θ) = (v . w ) /  | | v | | × | | w | |

cos(θ) = = - 3/√50
θ =.....   calculate by 2ind function ( calculator)

You might be interested in
How to do this ? ....
DerKrebs [107]
I’m pretty sure it’s 11. So answer D
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%28%20%5Cfrac%7B1%7D%7B8%7D%20%20-%20x%29%7D%20%20%3D%20%20-%20%20%5Cfrac%
Rashid [163]

∛(1/8 - <em>x</em>) = -1/2

Take the 3rd power of both sides and solve:

(∛(1/8 - <em>x</em>))³ = (-1/2)³

1/8 - <em>x</em> = -1/8

2/8 = <em>x</em>

<em>x</em> = 1/4

7 0
2 years ago
When is it better to use a table<br> When is it better to use a scatter plot
34kurt

Management information system requires tables, Tables are used only if a person is trying to analyse data and understand its business by summarizing.It is the 1st step of data analysis collecting data. Scatter plot is used when there is a question of association of two or three variable.

Step-by-step explanation:

  • Table is the matrix to stack up the data in there respective columns.
  • It is the most important setup to analysis.
  • It's better used collecting data for any projects or business.
  • Tables are even used for Bio statistics and Analytics.
  • Databases uses tables for one query table to another query table.
  • Scatter plot is dotted plot which analyse two variables.
  • Example if a project is eating chocolates in gram in x axis.
  • Gaining weight in y axis two variables are used to predict and outcome.
  • If a person eats this amount of chocolate it will gain this wait.
  • Association rules, contingency statistics and rest.
6 0
3 years ago
Find an equation for the line with the given properties. Express the equation in​ slope-intercept form. Containing the points Up
Gwar [14]
\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ -1}}\quad ,&{{ 3}})\quad &#10;%   (c,d)&#10;&({{ 1}}\quad ,&{{ 0}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-3}{1-(-1)}\implies \cfrac{0-3}{1+1}&#10;\\\\\\&#10;\cfrac{-3}{2}

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-3=-\cfrac{3}{2}[x-(-1)]&#10;\\\\\\&#10;y-3=-\cfrac{3}{2}(x+1)\implies y-3=-\cfrac{3}{2}x-\cfrac{3}{2}\implies y=-\cfrac{3}{2}x-\cfrac{3}{2}+3&#10;\\\\\\&#10;y=-\cfrac{3}{2}x+\cfrac{3}{2}
6 0
3 years ago
What is the slope of y = -40x - 3?
34kurt

Answer: -40

Step-by-step explanation: the equation for this is y=mx+b the slope is m and y intercept is b

4 0
2 years ago
Read 2 more answers
Other questions:
  • Please help me with my math homework
    12·1 answer
  • Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness
    9·1 answer
  • PLZ HELP ASAP!!!!! <img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">
    8·1 answer
  • Po The diameter of a circular fountain in a city park is 28 feet. A sidewalk that is 3.5 feet will be built around the fountain.
    8·1 answer
  • 12g=12(2/3g-1)+ 11 <br> Please solve the equation fully and step by step
    13·1 answer
  • Need help ASAP ITS DUE SOON PLEASE AND SHOW WORK !!!
    12·2 answers
  • What is the area of a rectangle with vertices (2, 3), (9, 3), (9, Negative 2), and (2, Negative 2)?
    15·2 answers
  • If the surface area of a sphere is 48.3cm^2, find its diameter. PLEASE HURRY
    5·1 answer
  • You know that 3 pencils and 7 pens cost $24 with 3 pencils and 3 pens cost $12 how many dollars are 4 pencils and 5 pens worth?
    15·1 answer
  • Use the compound interest formulas A=P e^rt to solve the problem given. round answers to the nearest cent.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!