$MathMaster logo$

MathMaster

Home
general
what is the angle between the vectors a 3i 3j 3k b 2i 1j 3k

Question

What is the angle between the vectors A= 3i + 3j + 3k B= 2i + 1j + 3k

278

likes

1389 views

Answer to a math question What is the angle between the vectors A= 3i + 3j + 3k B= 2i + 1j + 3k

$Expert avatar$

4.5

61 Answers

A=3i+3j+3k

B=2i+1j+3k

A\cdot B=\esquerda(3\vezes2\direita)+\esquerda(3\vezes1\direita)+\esquerda(3\vezes3\direita)=6+3+9=18

\esquerda|A\direita|=\sqrt{3^2+3^2+3^2}=\sqrt{9+9+9}=\sqrt{27}=3\sqrt{3}

\esquerda|B\direita|=\sqrt{2^2+1^2+3^2}=\sqrt{4+1+9}=\sqrt{14}

Deixe,\:o\:ângulo\:entre\:dois\:vetores=\theta

\cos\theta=\frac{A\cdot B}{\left|A\right|\left|B\right|}=\frac{18}{3\sqrt{3}\times\sqrt{14 }}=\frac{\sqrt{42}}{7}

\theta=\cos^{-1}\left(\frac{\sqrt{42}}{7}\right)=22,21^{\circ}

Ângulo\:entre\:dois\:vetores\:=22,21^{\circ}

Frequently asked questions (FAQs)

What is the equation for finding the length of the perpendicular bisector in a triangle?

+

Math question: What is the equation of a circle with a center at (-2, 5) and a radius of 3?

+

What is the scientific notation of 210,000,000?

+

New questions in Mathematics

To calculate the probability that a player will receive the special card at least 2 times in 8 games, you can use the binomial distribution. The probability of receiving the special card in a single game is 1/4 (or 25%), and the probability of not receiving it is 3/4 (or 75%).

Determine the equations of the recipes that pass through the following pairs of points P1 (2;-1) and p2 (4;-1)

The mean temperature for july in H-town 73 degrees fahrenheit. Assuming that the distribution of temperature is normal what would the standart deviation have to be if 5% of the days in july have a temperature of at least 87 degrees?

Credit title that represents a payment order. This model, which emerged in Brazil, can only be issued in two specific situations: in the purchase and sale of commercial products or in the provision of services. Select the correct alternative: Question 6Answer The. Present value B. Promissory note w. Present value d. Duplicate It is. Bill of exchange

Pedro had 80% of the amount needed to buy a game. Of this amount, you spent 15% on a watch and therefore, you will need to add another R$640.00 to purchase this game. Is the value of the game?

If 0101, what is the binary representation of the 4x16 decoder output?

You mix a powder drug with a 4.5ml of liquid to get a reconstituted solution with a concentration of 250mg/ml. The prescribers order is for 500 mg . You will give what ml of the reconstituted solution

How many square feet of floor area are there in three two-storey apartment houses, each of which is 38 feet wide and 76 feet long?

Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3

2.380× (1+0.05) / 0.95−0.05

You buy a $475,000 house and put 15% down. If you take a 20 year amortization and the rate is 2.34%, what would the monthly payment be?

For the numbers below, select a number at random and find the probability that: a. The number is even b. The sum of the number’s digit is even c. The number is greater than 50 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)

What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2

Select a variable and collect at least 50 data values. For example, you may ask the students in the college how many hours they study per week or how old they are, etc. a. Explain what your target population was. b. State how the sample was selected. c. Summarise the data by using a frequency table. d. Calculate all the descriptive measures for the data and describe the data set using the measures. e. Present the data in an appropriate way. f. Write a paragraph summarizing the data.

Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?

y’’ -4y’ +4y = (12x^2 -6x)e^2x Y(0)= 1 Y’(0)=0 Y(x)=c1y1+c2y2+yp