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
Dennis_Churaev [7]
3 years ago
15

Find the magnitude and direction in degrees of the vector v=6i+2 seq31​

Mathematics
1 answer:
masha68 [24]3 years ago
6 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}

=\sqrt{6^2+\left(2\sqrt{3}\right)^2}

=\sqrt{36+12}

=\sqrt{48}

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

=\sqrt{3}\sqrt{2^4}

=4\sqrt{3}

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)

\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}

You might be interested in
What does x represent
Over [174]
The answer is c, hope this helps. Have an amazing day
8 0
3 years ago
Read 2 more answers
What is the volume of the triangular prism below?<br><br> V =________ft3
Dmitrij [34]

Answer:

4.5 cubic feet

8 0
3 years ago
Read 2 more answers
What is the equation, in slope-intercept form, of the line with a slope of -1/3 and y-intercept of (0, 9)? Choices in picture be
Pie

Step-by-step explanation:

The formula is<em> y=mx+b</em>, with <em>m</em> representing the slope, <em>x</em> representing the <em>x </em>coordinate, and<em> b</em> representing the y-intercept. Since -⅓ is the slope, that means that the equation starts off as y=-⅓. We know that the y-intercept is where the line meets the y-axis, so the y-intercept is 9. Since 9 (the y-intercept) is being added, that means the equation is y=-⅓+9.

Answer:

y=-⅓+9

4 0
3 years ago
In Spanish class, Kevin learns an average of 34.5 new words per month. If he takes Spanish for 9 months, which is the best estim
Varvara68 [4.7K]
The answer is 310.5 new words will be learned


8 0
3 years ago
Read 2 more answers
Point P is presently located at the origin. Move P, and observe how the rotated Images change. Be sure that neither the images n
guapka [62]

Answer:

Plato sample answer:

5 0
3 years ago
Other questions:
  • Py+qy=-4y+8 what is the solution for y
    11·2 answers
  • I need help with question 2
    6·2 answers
  • PLEASE HELP ME OUT.
    15·1 answer
  • Why is 4 + (−3) equal to 1? Because it is 3 units to the right of 4 on a horizontal number line Because it is 3 units to the lef
    6·2 answers
  • How many atoms are in 882 moles of Li?
    13·2 answers
  • A group of friends decided to buy a bulk of chocolate from a candy store if some friends each want 1 half of a kilogram of choco
    10·1 answer
  • Find the average rate of change over the given interval f(x)=3^x,[1,4]
    7·1 answer
  • A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour. What is the unit rate of flour to sugar for the cookie
    5·1 answer
  • John placed $5000 in an account that earns interest compounded annually. His interest rate is 8.2%. If John leaves his money in
    15·1 answer
  • Find the value of x.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!