MathMaster
Q & A
Blog
Tutorials
Calculators
Privacy policy
CONTACT US
Menu
Home
general
result of the scalar product between u 1 2 3 and v 0 2 1
Question
Result of the scalar product between u=(1,-2,3) and v=(0,2,1)
Like
168
likes
839
views
Answer to a math question Result of the scalar product between u=(1,-2,3) and v=(0,2,1)
Cristian
4.7
119
Answers
1. Write out vectors:
\mathbf{u} = (1, -2, 3)
,
\mathbf{v} = (0, 2, 1)
.
2. Use dot product formula:
\mathbf{u} \cdot \mathbf{v} = u_1v_1 + u_2v_2 + u_3v_3 = 1 \cdot 0 + (-2) \cdot 2 + 3 \cdot 1
.
3. Calculate:
0 - 4 + 3 = -1
.
4. Final answer:
-1
.
Frequently asked questions (FAQs)
What is the equation of the logarithmic function that graphs as a vertical line passing through the point (3, -2)?
+
Math question: Calculate the length of the hypotenuse in a right triangle with legs measuring 10 units and 15 units.
+
What is the mode of the dataset: 5, 7, 3, 9, 5, 5, 7, 8, 6?
+
New questions in Mathematics
a to the power of 2 minus 16 over a plus 4, what is the result?
5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight
Β³β12 x βΆβ96
(2b) to the 1/4th power. Write the expression in radical form.
-0.15/32.6
How long will it take for $900 to become $5000 at an annual rate of 11.15% compounded bimonthly?
A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.
How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
Three squares have a total area of 35.25 ππ2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.
7. Find the equation of the line passing through the points (β4,β2) πππ (3,6), give the equation in the form ππ₯+ππ¦+π=0, where π,π,π are whole numbers and π>0.
A warehouse employs 23 workers on firstβ shift, 19 workers on secondβ shift, and 12 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first β-shift workers.
Exercise 1 An ejidal association wishes to determine the distribution for the three different crops that it can plant for the next season on its available 900 hectares. Information on the total available and how many resources are required for each hectare of cultivation is shown in the following tables: Total available resource Water 15,000 m3 Fertilizer 5,000 kg Labor 125 day laborers Requirements per cultivated hectare Corn Soybeans Wheat Water 15 25 20 Fertilizer 5 8 7 Labor** 1/8 1/5 1/4 *The data in fraction means that with one day laborer it will be possible to care for 8, 5 and 4 hectares respectively. * Sales of crops 1 and 3, according to information from the Department of Agriculture, are guaranteed and exceed the capacity of the cooperative. However, soybeans must be limited to a maximum of 150 hectares. On the other hand, the profits for each hectare of crop obtained are estimated at: $7,500 for corn, $8,500 for soybeans and $8,000 for wheat. The objectives are to determine: β’ How many hectares of each crop must be allocated so that the profit is maximum. R= β’ The estimated profits for the ejidal cooperative in the next growing season. R=
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A Γ B| = |C Γ D|
How to do 15 x 3304
7.57 Online communication. A study suggests that the average college student spends 10 hours per week communicating with others online. You believe that this is an underestimate and decide to collect your own sample for a hypothesis test. You randomly sample 60 students from your dorm and find that on average they spent 13.5 hours a week communicating with others online. A friend of yours, who offers to help you with the hypothesis test, comes up with the following set of hypotheses. Indicate any errors you see. H0 :x Μ<10hours HA : x Μ > 13.5 hours
effectiveness of fiscal and monetary policy under closed and open economies
If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable. 12, 18, 21, c, 13
yβ² = 2x + 3y xβ² = 7x β 4y x(0) = 2 y(0) = β1 sisteminin ΒΈcΒ¨ozΒ¨umΒ¨unΒ¨u bulunuz. (Lineer Denk. Sis.)
Recall that with base- ten blocks, 1 long = 10 units, 1flat = 10 long, and a block = 1 unit. Then what number does 5 flat, 17long and 5 units represent represent ?
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.
Download NOW
Apple store
Download NOW
Google play
Solve NOW
Try On Web
You might be interested in
Add. 7/wΒ²+18w+81 + 1/wΒ²-81
12-6x=4x+2
What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?
a) A tap can supply eight gallons of gasoline daily to each of its 250 customers for 60 days. By how many gallons should each customer's daily supply be reduced so that it can supply 50 more customers for twenty more days?
The length and breadth of my rectangular vegetable garden is 12,5m and 7,25m respectively. What is the perimeter of the garden?
Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.
An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?
A regional candy factory sells a guava roll at a price of $48, the monthly fixed costs amount to $125,000 and the variable cost for making a guava roll is $28. Determine: a) The equation of the total income from the production of guava rolls.
A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 60% of the people get vaccinated. If a person is selected at random from this region, find the probability that he or she will contract the disease. (4 Points)
In an audience of 4000 people, 2 people are chosen, at random, to appear on stage. How many ways can the people be chosen?
Which of the methods below can be used to workout 95% of an amount? a. Dividing the amount 100 and multiply by 95 b. Working out 5% of the amount and taking it away from the full amount c. Dividing 95 by 100 and multiplying the answer by the amount d. Dividing the amount by 95 and then multiply by 100
Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?
Calculate the area of the parallelogram with adjacent vertices (1,4, β2), (β3,1,6) π¦ (1, β2,3)
a) 6x β 5 > x + 20
To verify that a 1 kg gold bar is actually made of pure gold, a dynamometer is used to record the weight of the bar submerged in water and out of water. a) What would be the value of the weight of the ingot recorded by the dynamometer out of the water? b) What magnitude of thrust does the ingot receive when it is submerged? c) What would the weight of the ingot have to be when it is submerged? Data Pagua = 1000 kg/mΒ³ Pagua= 19300 kg/mΒ³
Identify the slope and y intercept y=11+2/3x
did an analysis of dropout from the nursing faculty at the Universidad Veracruzana. With a poblation of 122 students, it turned out that according to the gender data, the female sex predominates with 82%, and the male sex male is found with 12%. The main factors why students drop out are, first of all, "Not "re-enrolled" at 49%, second place "Personal reasons" at 20%, third place "change of school" in 11%, "lack of documents" and "economic reasons" in 7%, change of residence and lack of social service in 3%. Of this sample, how many students dropped out for other reasons?
t+72/t=-17
(3.1x10^3g^2)/(4.56x10^2g)
A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.