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
Kaylis [27]
3 years ago
15

Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.

Mathematics
2 answers:
Brut [27]3 years ago
4 0
Define unit vectors along the x-axis and the y-axis as \hat{i} , \, \hat{j} respectively.

Then the vector from P to Q is
\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}
In component form, the vector PQ is (-8,5).

The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434

Answer:
The vector PQ is (-8, 5) and its magnitude is √89  (or 9.434).
algol [13]3 years ago
3 0

Answer:

<-16, 10>, square root of 178

Step-by-step explanation:

The other user was close, BUT he forgot to multiply his work by 2, and there were a few miscalculations.

The formula to find PQ respectively is <q1-p1,q2-p2> (Note: if they ask you to find QP then just flip the formula to <p1-q1,p2-q2>)

-13-(-5)=-8

10-5=5

Multiply them by 2 to get <-16,10>

To get the magnitude you use the same formula for the first part before, then you square both of them and add them together, then take the square root.

-13-(-5)=-8

-8^2=64

10-5=5

5^2=25

64+25=89

89*2=178

Take the square root: (square root of 178)

Then your done!

You might be interested in
Solve using foil method (x+9)(x+9)
Fudgin [204]
X^2+9x+9x+81
x^2+18x+81
for factoring it
3 0
3 years ago
9(4b-1)=2(b+3) Slove for b plz answer as quick as u can please
Jobisdone [24]

36b - 9 = 2b + 6 \\ 34b = 15 \\ b =  \frac{15}{34}
3 0
3 years ago
A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?
aivan3 [116]
Hello here is a solution :
<span> the radius of the circle is OA        A(5;-12) and O (0;0)
OA= </span><span>  square root ((5-0)² + (-12-0)²) 
</span>     = <span>  square root (25+144) 
</span>     = <span>  square root(169)
</span> OA = 13

7 0
3 years ago
Read 2 more answers
What is the perimeter of the triangle in the diagram?<br><br><br> a + b + <br> a2 + b2<br> 2(a + b)
inn [45]
Where is the triangle?
7 0
3 years ago
Read 2 more answers
The difference between a number and 12 is 20<br><br> Write an equation
Kryger [21]
20 - 12 = x
combine like terms, theres ur answer
5 0
3 years ago
Read 2 more answers
Other questions:
  • the train traveled at an average speed of 48 miles per hour for the first 2 hours and at 60 miles an hour for the next hours. Wh
    8·1 answer
  • A teacher is treating her seventh graders to a pizza party for their successes in class. Each student can have two slices of piz
    14·2 answers
  • Simplify by dividing -5/8 divided by -3/4
    15·1 answer
  • Solve the system by the elimination method..<br><br> 2a + 3b = 6<br> 5a + 2b - 4 = 0
    13·1 answer
  • Juan has x apples and 8 oranges how many pieces of fruit does he have give your answer in terms of x
    14·1 answer
  • Need help with another problem
    6·1 answer
  • The data set shows the numbers of pages in the books on a reading list.
    14·2 answers
  • A 45 foot ladder is leaning against a building. If the bottom of the ladder is 27 feet from the base of the building, how tall i
    6·2 answers
  • Kim is 12 years old. If her age is 25% of her mother’s age, how old is her mother?
    14·2 answers
  • Where is point b on the number line?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!