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
umka21 [38]
2 years ago
11

Im not sure how to answer this question.

Mathematics
1 answer:
bonufazy [111]2 years ago
3 0

9514 1404 393

Answer:

  (-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k

Step-by-step explanation:

To answer this question, you need to know two things:

  1) the direction of vector v

  2) the magnitude of vector u

__

<u>direction of v</u>

A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.

The unit vector in the v direction is ...

  v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13

__

<u>magnitude of u</u>

The magnitude of vector u is ...

  |u| = √(5² +(-2)² +3²) = √38

__

Then the desired vector is ...

  (2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k

_____

<em>Additional comment</em>

We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.

You might be interested in
HELP!<br> (5 + x)(5 - x) = 7 is a quadratic equation.<br> true or false
arlik [135]
True, this equation is a quadratic equation,.
5 0
3 years ago
Read 2 more answers
Hey can you help me fast!!!
Maksim231197 [3]

Answer:

32 squared ft

Step-by-step explanation:

7 0
2 years ago
What is the formula for the following arithmetic sequence?<br><br> 12, 6, 0, -6, ...
Lady_Fox [76]

Answer:

12+35x3.14

Step-by-step explanation:

7 0
3 years ago
A rectangular prism shaped fish tank is 14 in tall the perimeter of the base is 96 in the length of the base is 3 times the widt
Alla [95]

Using the given information find the length and width of the base:

Perimeter = 2L + 2W

L = 3W

Replace L in the first equation:

Perimeter = 2(3W) + 2w

96 = 2(3W) +2W

Simplify:

96 = 6W +2W

96 = 8w

Divide both sides by 8:

w = 96 / 8

w = 12

The width is 12 inches.

The length = 3 x 12 = 36 inches.

Volume = L x W X H

Volume = 36 x 12 x 14

Volume = 6,048 cubic inches.

5 0
3 years ago
Given the function f(x) = log3 (x + 1), determine f^−1(2).
zavuch27 [327]
Given:  <span>f(x) = log3 (x + 1), look for f^-1 (2)

We are looking for the inverse of a function. The inverse of the function can be obtained by switching the variables and obtaining the values of the new function, before substituting f(2). Using a calculator:

</span><span>f^-1 (2) = 8</span>
6 0
3 years ago
Other questions:
  • I need help you dont have to answer both.
    15·2 answers
  • You can find 0.5% of a number by multiplying the number by 5/100: true or false
    5·1 answer
  • What is the slope of the line that passes through the given points? (2, 12) and (6, 11)
    12·1 answer
  • Which of these numbers rolands to 7.6?<br> 7546<br> • 7630<br> 7670<br> 7720
    11·1 answer
  • G(x)= 3 - |2x-4| is defined for the domain -1 &lt; x &lt; 6.
    14·1 answer
  • An experienced cashier at a grocery store takes 2 seconds to scan each item and 40 seconds to process the customer's payment. 1)
    14·1 answer
  • You purchase a house for $299,500. You take out a 30 year mortgage with a 4.9%
    13·1 answer
  • Solve the 2-step equation: -3/4+8=-7
    13·1 answer
  • Diameter 32 inches what is the radius?
    12·2 answers
  • If 2 lines intersect the system is called...
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!