DOC PREVIEW
NCSU MA 242 - C3T1V1Solution08

This preview shows page 1 out of 4 pages.

Save
View full document
View full document
Premium Document
Do you want full access? Go Premium and unlock all 4 pages.
Access to all documents
Download any document
Ad free experience
Premium Document
Do you want full access? Go Premium and unlock all 4 pages.
Access to all documents
Download any document
Ad free experience

Unformatted text preview:

MA 242 Test 1- Version ISolufi oosNO WORK:NO CREDIT!!!1. (5 points) Find the distance from (6,5,3) to each of the followinga) the xy - plane 3b) the yz - plane (O( e soio\2. (10 points) Find the parametric equations of the line through the point (2,I,5) and parallel tov =2i - 1j +4k.X- Ya rct{-1= \';roc+Z=zotc*+z+I+?+3. (10 points) Find the angle between the vectors <0,-2,0> and <0,-1,1>. ***Findthe exact answerin degrees for 2 points Extra Credit. Remember no calculators are allowed on tests.* * *+.ia'b1Ot2)c> @apl-lr f) = \F \\$ Cc;sG-QzJ-=2c) the x-axis ?f oa y* A yi , ( x )o i,)t.Q{ = \ [e*a>z + (s-o>' r G-o)- :- \{?4)1 - r\r\J2- - \7+u.-C r-ed* I3(r) +=/ +-bt)jzf)axbg)bxa : -21+ + \11Jh) Are a and b orthoqonal?-Explain your answer.Sos d"E =oo--find the following :4. (25 points) Given the vectors a =< 3,I,-4 > and b =<2,6,3 >a)2a .F 1/ ) *g\\t) 1) v /b)a+b = <5 )1 t l>.) lul,, |frle)a.bIIt (u) +@ <-- \2Ltr\\,:)aJII6l,<-*11j\= (=-6.*xd))i - (z-('t)c)i* (3 (a)*a #--\ 't)t* 21 + -\-1 t-+ lLY I)i) Are a and b parallel? Explain your answer.ruc FxB + df5. (15 points) Find the equation of the plane that contains the points A(1,1,0), B(1,4,,2), and C(2,-2,1).&= (t- I,a '?1,)2-c>'3:;1,,,2:rl ,_o>, =<\\ : (s-er>)f - (o-z)in (c-l)tI - \- - / \ 'J\ = 1+ uz)jtI(\{<?l{/,\-\I\?J-aq (r1- I \ + ) ( r,,,-l\ - 3 k *C) : O| \ ^ | ) c/L ") '- J v./6. (15 points) Given the acceleration vector a(t) = i - j * gt anO the initial position r(0) = 9i and*\ ;7Ad.X AL --\/ \r--/ 'tpea{ - \\+z rrq*){rt,,-,.) V' \f ft) -- L+t1* ( Lt+ -L+')j + f Ft "BPr+l = G+' r-l)i + 0+-5342Lz_\ 'i---*TI7 . (L0 points) Find a vector equation of the line tangent to the curve r(t) =< tsint,cost, et >at the point (0,1,1).)r. / , + \( t(t ) ; (St", ts fco S*l5 r',r{, € >(O,t.j\. occwr: L^!^-e-/\ + = Or-,(o) :- <-:>l-*^*I) = <o) r)= (o,8. (10 points) Find the arc length of the curve r(t) = .(,+r%,r, from r - I to t -2.'3r> + (ctc)\ >+t) l+ +>ter=rJI-f')1=+IIvz-Car-c \nps: l,? \ { {tJ J ' \ \ r L /L)+il2 ++


View Full Document

NCSU MA 242 - C3T1V1Solution08

Download C3T1V1Solution08
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view C3T1V1Solution08 and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view C3T1V1Solution08 2 2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?