Question

Hw Find the standard eauahon of a sphere thak has diameter wite ne end peints (2,5,3); (-3, -44) Find te compenents fom af ee tor vg iven tr magnituda 15 11-7 and the apgle it makes with the positive X-axis is - 330 3 Find the vector v with the nignitude 4 and direchen ot U=5,-5,1 Determine he Hur v and v are orthogonal.paral/ and pointing in the same direchon, parallel and peia trng ppeite direcbe 5Given Componeat or thegenal to v. Given D:3,-3, -7 and V <I, 4,27, Find VxU 7 Find a unit vechr that is orthegenal& both u4,,3ard v=<15,16,13 Find the Area ofparallelegvam that bas tle given Vechs as or neither. =6, 37 , v= < 7,3,17 and v<-a,1,57, Find the vecbr U: adjacert sides. Round your answer to tuo cdecimal pla cas. 3, 4,2 VES,3,-9 Find a set of Synetric equahens of the line through te point (7, 3) parallel t te vec tor v 2,4,4 Find a set of parametric eguations of the line the ponts (-5,7,3) and (3,1,-) throvgh

Answer 1

End pofnts ef diameteu of phee (2, 5,3)&3,-1,) Je+3 (5+1(3-/+6)/2 as+36+/2 J62/2 ) GRven Radis 7 -/+5 2 2 4t3 CordfinateA anol centare (13) 2 Equanbn o &phere (x- x)Cy- (2-2)- (x+y-2- 6- 3 -3-31 2 Given Hagnitu dle o 330 7 aud Cemponeuts of vect 7 ca (360-30) 7 cs 73 7 coy 330 7x 7 9n 330 -7in (360-30) - -7in30 vino = 7S 5-5+K Given 3 53 +5jt K 52+51 53-53+K u. = jul (-5 o a 3 315 315 - 20 3ST 26 3 S Given Vo-T+2: o o (61+8j)-t) -3+3 0 . to ea o ottur orthegonel Uand CAR