5

# (5) What is the length of the vector (1,1,- 1) in 9 dimensions? Find a unit vector u in the same direction as and unit vector W such that v W = 0. (6) Consider the ...

## Question

###### (5) What is the length of the vector (1,1,- 1) in 9 dimensions? Find a unit vector u in the same direction as and unit vector W such that v W = 0. (6) Consider the vectors 81 (1,1,1) ,82 = (0,1,1) , 83 = (0,0,1)_ Determine the vector b = 381 + 4s2 + 583 _ (b) Write b as a matrix-vector multiplication Ax (A is a matrix; & is the column vector with components 31. 12, T3 (c) Compute Av using the dot products of the rows of A with & Consider the following vectors Wt (1,2,3) , W2 (4,5,6) , W3

(5) What is the length of the vector (1,1,- 1) in 9 dimensions? Find a unit vector u in the same direction as and unit vector W such that v W = 0. (6) Consider the vectors 81 (1,1,1) ,82 = (0,1,1) , 83 = (0,0,1)_ Determine the vector b = 381 + 4s2 + 583 _ (b) Write b as a matrix-vector multiplication Ax (A is a matrix; & is the column vector with components 31. 12, T3 (c) Compute Av using the dot products of the rows of A with & Consider the following vectors Wt (1,2,3) , W2 (4,5,6) , W3 (7,8,9). Find linear combination that gives %1W1 + T2W2 + T3W3 (0,0,0) with *1 =1_  #### Similar Solved Questions

##### Problem In many situations, one encounters coupled differential equations; often times complex analysis can be quite useful. A famous example is the systemdA dB B(t); =-A(t). dt dtHere A(t) and B(t) are unknown functions of t; all quantities are real Now consider the complex valued function (of the single real variable t)Q(t) A(t) + iB(t)Note that by adding ix [left equation] to the right equation, you get strai ightforward complex equation for Q(t). Using this method, solve this above system s
Problem In many situations, one encounters coupled differential equations; often times complex analysis can be quite useful. A famous example is the system dA dB B(t); =-A(t). dt dt Here A(t) and B(t) are unknown functions of t; all quantities are real Now consider the complex valued function (of th...
##### 5.60-g bullet is moving horizontally with velocity of +344 m/s, where the sign indicates that it is moving to the right (see part a of the drawing): The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible: The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet: The mass of the first block i
5.60-g bullet is moving horizontally with velocity of +344 m/s, where the sign indicates that it is moving to the right (see part a of the drawing): The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible: The bullet passes completely through t...
##### 13.1f35.5 g KBr is dissolved in = enough walcr unakc molarity of the solution?IFU 3/utiua 30 ?LTS14. What mass of KBr (in grams) should be used make 450,0 mL ofa [.75 M KBr lution?Am ? Jr0,0_ (o J)anla?i | | OO' eutzuns V â‚¬"f #to Uictsb JT Jerw Hc Keane ffafri "1o ~El n/i #n "ml (ilclotn} []"1 !0.155 M NaOH solution contains 0.235 moles of NaOH? 1S.How many liters ofllulrn ut slelu Je ) uotn DT ~OlH)7u= uc |?eLnL[7tuie;OOni1 "[Tt !obtain 2.00 dilute 400.0 mL ofa
13.1f35.5 g KBr is dissolved in = enough walcr unakc molarity of the solution? IFU 3/utiua 30 ?LTS 14. What mass of KBr (in grams) should be used make 450,0 mL ofa [.75 M KBr lution? Am ? Jr0,0_ (o J)anla?i | | OO' eutzuns V â‚¬"f #to Uictsb JT Jerw Hc Keane ffafri "1o ~El n/i #n ...
##### The Child Health and Development Studies investigate Tinge of topics. One study considered all pregnancies between 1960 and 1967 among women the Kaiser Foundation Health Plan the San Francisco East Bay area .We regress bvt on gestation calling this model nodgEstimate Std _ Ertor value Pr ( > It ) (Intercept) -10.7541 8. 5369 -1.26 0.21 gestation 4666 .0305 16.28 <2e-16 Residual standard error: 17 on 1172 degrees freedon Kultiple R-squared: 0.166 The Sum of Square Deviations of gestation=
The Child Health and Development Studies investigate Tinge of topics. One study considered all pregnancies between 1960 and 1967 among women the Kaiser Foundation Health Plan the San Francisco East Bay area . We regress bvt on gestation calling this model nodg Estimate Std _ Ertor value Pr ( > It...
##### If the events X= being female and Y=prefers red cars are statistically independent; then A. PCXJP() P(X and Y)B. PCXIY) = PC)C.All of these answers are correct_D. P(YKX) = P()
If the events X= being female and Y=prefers red cars are statistically independent; then A. PCXJP() P(X and Y) B. PCXIY) = PC) C.All of these answers are correct_ D. P(YKX) = P()...
##### (Multiple Choice) If the function f (*)is delined by fl)-Vx+2 ud gis an antiderivatives such thiat g(3)-5,then 8() ~3.268 1585 1.732 (D) 6.585 (E) 14.585
(Multiple Choice) If the function f (*)is delined by fl)-Vx+2 ud gis an antiderivatives such thiat g(3)-5,then 8() ~3.268 1585 1.732 (D) 6.585 (E) 14.585...
##### For & singlc, isolated point charge carrying charge ot 35.7 pC , one equipotential surface consists of 4 sphere of radius_ 18.9 Mm centered On the point chuatge shownWhat is the potential on this surlace?pxhentiul:To druw an additional equipotential sutlace separuled by 9.10 V fromn Ihe previous surface, how Iur Irom Ihe [lt chotge shauld this scond surdace h' This surface IiUSI atso meet the eondition of beings Vurther Irn Ihte pint charge ! than the originul equipuxtential surfucedis
For & singlc, isolated point charge carrying charge ot 35.7 pC , one equipotential surface consists of 4 sphere of radius_ 18.9 Mm centered On the point chuatge shown What is the potential on this surlace? pxhentiul: To druw an additional equipotential sutlace separuled by 9.10 V fromn Ihe previ...
##### Using data from Appendix 4 , calculate $Delta H^{circ}, Delta G^{circ}$, and $K_{mathrm{p}}$ (at 298K) for the production of ozone from oxygen:$$3 mathrm{O}_{2}(g) ightleftharpoons 2 mathrm{O}_{3}(g)$$At $30 mathrm{~km}$ above the surface of the earth, the temperature is about230. $mathrm{K}$, and the partial pressure of oxygen is about $1.0 imes 10^{-3}$ atm. Estimate the partial pressure of ozone in equilibrium with oxygen at $30 mathrm{~km}$ above the earth's surface. Is it reasonable to
Using data from Appendix 4 , calculate $Delta H^{circ}, Delta G^{circ}$, and $K_{mathrm{p}}$ (at 298 K) for the production of ozone from oxygen: $$3 mathrm{O}_{2}(g) ightleftharpoons 2 mathrm{O}_{3}(g)$$ At $30 mathrm{~km}$ above the surface of the earth, the temperature is about 230. $mathrm{K}$, ...
##### Use the Pythagorean theorem and the square root property to find the length of the missing side.
Use the Pythagorean theorem and the square root property to find the length of the missing side....
##### FollowNctonsclo *dunitRefer to Imageumete ia tc bane # Ihls tresue Ibund? alt Loec Wnat Lind: 0f Ulstues endulncdrAmrilon?
followN ctons clo * dunit Refer to Image umete ia tc bane # Ihls tresue Ibund? alt Loec Wnat Lind: 0f Ulstues end ulncdr Amrilon?...
##### Given that y = C1el + Cesolutionche differential equation y" Dg = 0. where C1 and C2 are arbicrary constants hnd function g thar satisfies the conditions_y" _ 9y = 0. y(0) = * lim %(e) = 0 (4+0Give your answer as y =.Answer:
Given that y = C1el + Ce solution che differential equation y" Dg = 0. where C1 and C2 are arbicrary constants hnd function g thar satisfies the conditions_ y" _ 9y = 0. y(0) = * lim %(e) = 0 (4+0 Give your answer as y =. Answer:...
##### X * * * * * * * * ~PPz x T2 "1 C_ * * **R* * * * 67F* * X* **XR x X * * * * * X * * * * Bin
X * * * * * * * * ~PPz x T2 "1 C_ * * **R* * * * 67F* * X* **XR x X * * * * * X * * * * Bin...
##### In t liqure bto" curtengin the Icne sraight nire is #ue Ges in (he Duantt olthr Ierugular Ioop,ehich cries (uiter { 10 0 4 Vented ontrse Bon bythe mannetk ( Hd created bythe Vuire Maoree z8 : VAWhr ureolon Cithe mionedc ndd that tne loro trzont Rine Prdolcee Dene Ginnadon7 drecon diretton DILIdimterisions *che noure are0,10m0,150 m0,+20 m Find tne muannect and Oreckicn &che rrl (MceAnceethtitnreaddrodvcead sde & * rdano Cumtentnoo?Need Halp?
In t liqure bto" curtengin the Icne sraight nire is #ue Ges in (he Duantt olthr Ierugular Ioop,ehich cries (uiter { 10 0 4 Vented ontrse Bon bythe mannetk ( Hd created bythe Vuire Maoree z8 : VAWhr ureolon Cithe mionedc ndd that tne loro trzont Rine Prdolcee Dene Ginnadon7 drecon diretton DILI ...
##### Calculate the volume of gaseous C4H10 (butane) at 25.00ËšC and785.0 torr that must be burned in a closed, rigid container if youwant to obtain enough heat to convert 15.50 g of ice at 0.00ËšC intosteam at 100.00ËšC. Use the following information: Î”HËšf of C4H10(g) = -149.1 kJ/molÎ”HËšf of H2O(l) = -285.8 kJ/molÎ”HËšf of CO2(g) = -393.5 kJ/molâˆ†Hfusion of ice = 6.009 kJ/molâˆ†Hvaporization of water = 40.67 kJ/mol at 100ËšC.Average specific heat capacity of liquid water in the range 0ËšCto 100Ëš
Calculate the volume of gaseous C4H10 (butane) at 25.00ËšC and 785.0 torr that must be burned in a closed, rigid container if you want to obtain enough heat to convert 15.50 g of ice at 0.00ËšC into steam at 100.00ËšC. Use the following information: Î”HËšf of C4H10(g) = -149.1 kJ/mol Î�...
##### 1. What is the general formula for a saturated acyclic hydrocarbon and a saturated cyclic hydrocarbon?2. In this question ( means that you have a branch off a parent chain: You may want to rewrite each formula before answering the question (the same is true for the quiz). Name each compound using IUPAC naming:CHz-CH-(CH3JCHz-CHCH3)-CH(CH3)-CH3b) CHz-C(CH3)2-CHz-CH(CH3)2 cJCH3-C CHz-C(CH3ICH2CH3)-CHz-CH3CHz(CH3)-CHICH3)-CHICH3)-CH2-CH3
1. What is the general formula for a saturated acyclic hydrocarbon and a saturated cyclic hydrocarbon? 2. In this question ( means that you have a branch off a parent chain: You may want to rewrite each formula before answering the question (the same is true for the quiz). Name each compound using I...