Question

(c) Each equation below specifies a line or a plane in R3. If possible, express the specified line or plane as a span. Otherwise, justify why it cannot be expressed as a span. i. 2x-yz=4 ii. х+6у—z%3D 0 iii. x+3z = 0 iv. у %3D1 v. x = 0 and z = 0 vi. 2x -y 2 and z =-1 (d) For lines or planes in question 4c that cannot be expressed as spans, express as a translated span

Answer 1

Q0 @ i) 2x -y f2 = 4 y=.4-22-Z. la l x l lor i ron | 4-24-2/= 14 +1 -2/+2/-1 20 L z Los t il It cannot be expressed as span. as there is a non hem part il nt by - z=0 1 2 = utby A z so it latby can be expressed as span lin nt32 =0 = x=-32 In 11-32 for 1-3 y = y = yLI It zo 2 (z v to i Skanned with Hamssonerit can be expressed as stim

y=1 127 x 7 ron fly 1oz = 1 =1, It xil ol+2 o TTTtzt To stod tid so it cannot be expressed as span. M U20 & 220 LX 7 To 7 ron y = 14 (2 v lo so it can be expressed as span. i 2 = -1 en-y=2 y = 2x-2 Irumu 21 y = 22-2 = I tn/2 2) U sol so it cannot be expressed as span. Lo CS Cankscanner