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
grandymaker [24]
3 years ago
14

How do you find a vector of length 10 in the direction of v equals=left angle 3 comma negative 2 right angle 3,−2?

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

Your vector will be 10 times the unit vector in that direction. The unit vector is found by dividing the given vector by its length.

|| <3, -2> || = √(3² +(-2)²) = √13

Your vector of length 10 is then

... V = (10/√13)<3, -2> = <(30/13)√13, (-20/13)√13> ≈ <8.32, -5.55>

You might be interested in
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb,
NNADVOKAT [17]

Answer:

bbbb,

bbbg, bbgb, bgbb, gbbb,

bbgg, bgbg, bggb, gbgb, gbbg, ggbb,

bggg, gbgg, ggbg, gggb,

gggg

Step-by-step explanation:

3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg

4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg

You need to take a methodological approach;

The 2 easiest are the possibility of all boys and all girls;

Then consider 3 boys and 1 girl:

bbbg, bbgb, bgbb, gbbb

Then 2 boys and 2 girls:

bbgg, bgbg, bggb, gbgb, gbbg, ggbb

Lastly, 1 boy and 3 girls:

bggg, gbgg, ggbg, gggb

In total, there are 16 possibilities

P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:

       1

     1   1

   1  2  1

 1  3  3  1

1  4  6  4  1

The last row is relevant here;

There is 1 possibility where there are 4 boys;

There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;

There are 6 possibilities where there are 2 boys and 2 girls

There are 4 possibilities where there is 1 boy and 3 girls;

There is 1 possibility where there are 4 girls;

The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;

If your talking about 3 children, it would match the 4th row of Pascal's triangle;

So, 1 possibility of 3 boys;

3 possibilities of 2 boys and 1 girl;

3 possibilities of 1 boy and 2 girls;

And 1 possibility of 3 girls;

If your talking about 10 children, it would match the 11th row of Pascal's triangle.

(Maths can be so cool XD)

7 0
3 years ago
PLEASE HELP ME 16 POINTS PLEASE HELP
lorasvet [3.4K]

Answer:

A.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help me&lt;3<br> i will give brainliest to the right answer
marysya [2.9K]

Answer:

26.5

Step-by-step explanation:

Because the sales is $530 and the commission rate is 5%, the commission would be 5% of the sales, which would be $26.5

3 0
3 years ago
PLZ HELP I GIVE 15 POINTS
Natali [406]

Answer:

<u>4 1/12. (Four, one by twelve).</u>

Step-by-step explanation:

7/12 × 7 =?

7/12×7 = <u>49/12.</u>

The answer is now in improper fraction. When we convert it to mixed fraction we get the answer as <u>4 1/12. (Four, one by twelve).</u>

8 0
3 years ago
Create and evaluate an expression that shows "the quotient of eight raised to the power of two and four, decreased by six."
AnnyKZ [126]

((8^2)/4)-6 = (64/4)-6 = 16-6 = 10
5 0
3 years ago
Other questions:
  • The monthly salary of all adults in a certain US town is known to be right skewed with a mean of $3700. If a random sample of si
    15·1 answer
  • Which function below has the largest slope?
    15·1 answer
  • Recall that two angles are complementary if the sum of their measures is​ 90°. Find the measures of two complementary angles if
    7·1 answer
  • A standard die is rolled 360 times in hopes of rolling a 5 or 6 to the probability of success is p=1/3 find the standard deviati
    15·2 answers
  • PLZZZZZZZZZZZZ HELP THANKS :D
    8·2 answers
  • 10.3 divided by 1.4 =what
    10·2 answers
  • 2/21 times 7/8 in simplest form
    13·1 answer
  • I will give brainliest to whoever can answer this question. It’s due in 40 min Please help me )):
    9·1 answer
  • Three of these turtles weight 1,050 pounds. How much does one Pinta Island Tortoise weight?
    13·2 answers
  • PLS PLS PLS HELP 100 POINTS no scamming
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!