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
Mekhanik [1.2K]
3 years ago
13

If a vector a - b = 2c, a + b = 4c and c = 3i + 4j,find a and b

Physics
1 answer:
iren [92.7K]3 years ago
6 0
Ans:
a = 9i + 12j
b = 3i + 4j

Explanation:
We have two equations:

<span>a - b = 2c --- (A)
</span><span>a + b = 4c --- (B)

and two unknowns:
a = ?
b = ?

Whereas,
c = 3i + 4j

Add equations (A) and (B):
=> a - b = 2c
     a + b = 4c
----------------------
    2a = 6c

=> a = 3c --- (C)
Put the value of vector c in equation (C):

(C) => a = 3(3i + 4j)
=> a = 9i + 12j

Now that we have vector a, put that vector and vector c in equation (A):
(A)=> (9i + 12j) - b = 2(3i + 4j)

=> b = (9i + 12) - (6i + 8j)
=> b = 3i + 4j

Ans:
a = </span>9i + 12j
b = 3i + 4j<span>

</span>
You might be interested in
for the same type of atom with 8 protons, 9 neutrons, and 10 electrons, what type of atom or ion is it​
Ilia_Sergeevich [38]

Answer:

O²⁻

Explanation:

Number of protons  = 8

Number of neutrons  = 9

Number of electrons  = 10

What type of atom or ion is it = ?

Solution:

Protons are the positively charged particle in an atom

Neutrons do not carry any charges

Electrons are negatively charged particles

 For this atom, the number of protons helps to identify what specie it is; so this is an oxygen atom.

Now,

     Charge  = Number of protons  - Number of electrons

      Charge  =  8  - 10  = -2

The charge on the atom is -2 and so it is an oxygen ion with -2 charge

 The ion is O²⁻

8 0
3 years ago
A. An object takes 5 s to reach the
Komok [63]

Answer:

g = 0.4 m/s²

Explanation:

Given the following data;

Height = 5 meters

Time = 5 seconds

To find the acceleration due to gravity (g) on the planet;

Mathematically, the maximum height of an object is given by the formula;

H = ½gt²

Where;

H is the height measured in meters.

g is the acceleration due to gravity.

t is time measured in seconds.

Substituting into the formula, we have;

5 = ½ * g * 5²

5 = 0.5 * g * 25

5 = 12.5 * g

g = 5/12.5

g = 0.4 m/s²

5 0
3 years ago
What is the ideal mechanical advantage of the pulley system shown in this figure?
olchik [2.2K]

Answer:

v

Explanation:

vv

4 0
3 years ago
How does fertilizer run off pollution?
velikii [3]
When it rains, the growth aids in the soil drift 

5 0
3 years ago
A friend of yours is loudly singing a single note at 412 Hz while racing toward you at 23.0 m/s on a day when the speed of sound
kobusy [5.1K]

Doppler Effect is required to solve the problem. The Doppler effect is the change in the perceived frequency of any wave movement when the emitter, or focus of waves, and the receiver, or observer, move relative to each other. The general formula of observed frequency, due to Doppler's effect is as follows,

f_0 = (\frac{v+v_0}{v-v_s})f_s

f_0 = Frequency observed by observer

v = Velocity of Sound

v_0 = Velocity of observer

v_s = Velocity of source

f_s = Frequency of source

PART A) Replacing our values we have that,

f_0 = (\frac{v+v_0}{v-v_s})f_s

f_0 = (\frac{344+0}{344-23})(412)

f_0 = 441.52Hz

PART B) Here the same procedure is performed but this time repeated in the opposite direction.

f_0 = (\frac{v+v_0}{v-v_s})f_s

f_0 = (\frac{344+23}{344-0})(420)

f_0 = 448.08Hz

4 0
3 years ago
Other questions:
  • The simple pendulum above consists of a bob hanging from a light string. You wish to experimentally determine the frequency of t
    12·1 answer
  • Identifying Advantages of Parallel Circuits
    15·2 answers
  • The number of magnetic field force lines passing through the given surface determines: 1. magnetic flux 2. magnetic induction 3.
    9·1 answer
  • Suppose that you lift four boxes individually, each at a constant velocity. The boxes have weights of 3.0 N, 4.0 N, 6.0 N, and 2
    10·1 answer
  • An elevator filled with passengers has a mass of 1,700 kilograms and accelerates upward from rest at a rate of 1 meters/seconds
    11·1 answer
  • Help? Please? Thanks!
    11·1 answer
  • how is the acceleration of a car traveling on an elevated air track related to the angle of elevation
    12·1 answer
  • Any 4 differences between latitudes and longitudes..​
    8·1 answer
  • What are the most essential skills in Team Handball and why?
    10·2 answers
  • A photograph of you and your friends at your 8th birthday party.is it secondary or primary source and why?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!