1 answer

If A=3i+2j+3k and B=i-j+2k then what is angel between them?

Question:

If A=3i+2j+3k and B=i-j+2k then what is angel between them?

Answers

The angle is #=52.5^@#

Explanation:

The angle between #2#vectors, #vecA# and #vecB# is given by the dot product definition.

#vecA.vecB=∥vecA∥*∥vecB∥costheta#

Where #theta# is the angle between #vecA# and #vecB#

The dot product is

#vecA.vecB=⟨3,2,3⟩.⟨1,-1,2⟩=(3)*(1)+(2)*(-1)+(3)*(2)=7#

The modulus of #vecA#= #∥⟨3,2,3⟩∥=sqrt(9+4+9)=sqrt22#

The modulus of #vecB#= #∥⟨1,-1,2⟩∥=sqrt(1+1+4)=sqrt6#

So,

#costheta=(vecA.vecB)/(∥vecA∥*∥vecB∥)=7/(sqrt22*sqrt6)=0.609#

#theta=arccos(0.609)=52.5^@#

.

Similar Solved Questions

1 answer
A car traveling at 18m/s goes around a flat turn with a radius of 40m without...
A car traveling at 18m/s goes around a flat turn with a radius of 40m without skidding. What is the minimum possible coefficient of friction for this road?...
1 answer
2. The FDA approves drugs when the drug has a beneficial effect in a controlled experi ment, base...
part b please 2. The FDA approves drugs when the drug has a beneficial effect in a controlled experi ment, based on a one-sided 5% level test with Ho, the drug has no effect. A drug company has developed a new painkiller for chronic pains, although it is doubtful whether the new drug actually h...
1 answer
66 .a nurse is planning to care for a newly admitted client who has major depressive...
66 .a nurse is planning to care for a newly admitted client who has major depressive disorder following the loss of a child. which of the following goals should the nurse identify as the priority a.the client expects grieving behavior b. the client assumes a active role in her planning process c.the...
1 answer
A. An insurance policy covering three years was purchased on January 1, 2021, for $3,600. The...
a. An insurance policy covering three years was purchased on January 1, 2021, for $3,600. The entire amount was debited to insurance expense and no adjusting entry was recorded for this item. b. During 2021, the company received a $625 cash advance from a customer for merchandise to be manufactured ...
1 answer
Cramer method
Find the Pc by cramer method, then find the equilibrium equations:QeAQeBQeCFrom supply and demand....
1 answer
Please answer question 6 please!! 93 N QUESTION6 A piston-cylinder device contains 1 kg of R-134a...
Please answer question 6 please!! 93 N QUESTION6 A piston-cylinder device contains 1 kg of R-134a at 0.8 MPa and 70°C. Heat is transferred to the refrigerant at constant pressure until the temperature rises to 100°C. The amount of heat transferred is 0 a. 27.3 kJ O b.24.0 k) 21.6 k] d. 30.4 ...
1 answer
54. What is the catalyze reaction rate? ​Km=2 mM ​Kcat= 3 s-1 At the enzyme concentration=10...
54. What is the catalyze reaction rate? ​Km=2 mM ​Kcat= 3 s-1 At the enzyme concentration=10 nM and substrate concentration= 3 mM...
1 answer
A sample of an oxide of antimony(sb) contained 39.50 of antimony (sb) combined with 13.0g of...
A sample of an oxide of antimony(sb) contained 39.50 of antimony (sb) combined with 13.0g of oxygen (O) what is the simplest formula for the oxide compound that forms? 93 1972 NDSU A Suple of in Oxide & alimny (ob) Cantined 39:50 a achinary (36) pelo gogen In the bride a nd 1 g/mmon mass 7 1...
1 answer
What is the external magnetic field #(B_0)# in NMR processes?
What is the external magnetic field #(B_0)# in NMR processes?...
1 answer
A solenoid is 0.65 m long and contains 1500 turns exactly. A current of 2.0 A...
A solenoid is 0.65 m long and contains 1500 turns exactly. A current of 2.0 A flows through the wire. What will be the magnitude of the magnetic field produced by the solenoid in its interior?...
1 answer
Submit Request Answer Part B the storage form of carbohydrates in plants Check all that apply....
Submit Request Answer Part B the storage form of carbohydrates in plants Check all that apply. cellulose chitin amylose amylopectin glycogen Submit Request Answer Part C contains only aſ 1-4) glycosidic bonds...
1 answer
Tell the general principles of bridge planning and design. list them in order depending on their...
tell the general principles of bridge planning and design. list them in order depending on their priority .why ?...
1 answer
Control is the way that we catch failures in implementation or strategy. After discussing the guidelines...
Control is the way that we catch failures in implementation or strategy. After discussing the guidelines for proper control, state 2 examples that highlight the recommendation. Example - Controls should be timely. Corrective action must be taken before it is too late. "During a survey during acc...
1 answer
Q20 (1 point). The table below shows the demand and supply schedules for peanuts. Suppose the...
Q20 (1 point). The table below shows the demand and supply schedules for peanuts. Suppose the government imposes a 12 cent tax on buyers and a 48 cent tax on sellers. What is the price paid by each consumer? O 4.50 O 4.60 O 4.70 0 4.80 р Q Demanded Q Supplied 4.00 140 20 4.10 130 40 4.20 120 6...
1 answer
Show that if n is a positive integer and a and b are integers relatively prime to 1 such that (On...
Show that if n is a positive integer and a and b are integers relatively prime to 1 such that (On(a), On(b))1, then Show that if n is a positive integer and a and b are integers relatively prime to 1 such that (On(a), On(b))1, then...
1 answer
Castew w ant wat in weather Lhota has renament holder with were years. W e MVA...
castew w ant wat in weather Lhota has renament holder with were years. W e MVA A) SS2.000.000 3) SI300.000 S12.000.000 ng atine nome r Nation has $220.000 and a e the firm has S 0 00, long term debt of $116,000, and common equity of 5435.00. What is its retro A) 1798 B) 18.62 1987% Question 31 Shive...
1 answer
Independent random sampling from two normally distributed populations gives the results below. Find a 95% confidence...
Independent random sampling from two normally distributed populations gives the results below. Find a 95% confidence interval estimate of the difference between the means of the two populations. ng = 88 n2 = 80 = 123 x2 = 121 01 = 22 02 = 11 The confidence interval is <(H1-H2) (Round to four deci...
1 answer
Previous b of 2 Exercise 15.33 Two triangular wave pulses are traveling toward each other on...
previous b of 2 Exercise 15.33 Two triangular wave pulses are traveling toward each other on a stretched string as shown in the figure (Figure 1) Each pulse is identical to the other and travels at 2.00 cm/s. The leading edges of the pulses are 1.00 cm apart at t 0. Figure 1 of 1 200 cm/s, e 000 en ...