Question

a and b please

At least one of the answers above is NOT correct. (1 point) The intersection of two 3-flats in R" can be: a 3-flat, a plane, a line, a point or nothing. a. In R", what are the possible types of intersection between two 3-flats? A. plane B. point C. nothing D. line E. 3-flat b. In R5, what are the possible types of intersection between two 3-flats? A. nothing B. line c. point D. 3-flat E. plane Note: In order to get credit for this problem all answers must be correct ENG 1:50 AM TouchSmart

Answer 1

(9) what are possible ty pes of Intersectbn betoeen too T3l 3-Flats 9-8 dimenesion af R4 dimenssion af lst 3Flat W3 W2 3 2hol We thave to find dim (winw) dim (winw,)min dim(w), dimlW dim (wnw) mun (3, 3) dum rwinw) 3 minimum dim (WnW2) X bet dimtwitw)-4 (Maximum) Since S0, dim (winw,) Munimuum (3) dm(witws) dim (w) t dim(W,) - dim(w,nw2) 4 3+3- dim (win w2) 2 (Minimum).oho

2 dim(winW2)3 Plane IR 3- Flats R3 dimfw, nw,) = 2 (wnw) = 3 So, ophon- TA) reJ Plane Cossect 3-Flat in IRS (ь) Same above as dim( win w2) 3 minimum Now, Fos dimtw,twz) 5 (maximum) dim(w) tdim w,) -dimtunu 5=3+3-dim (Winw,) (Minimum dim (winw) 1< dim(winw2) 3 IP dim (winw,) 1 ine EIR (B) dim fwinw)= 2 Plane TR (E) din (wnw,) -3 3-ats TR3 (D) If B, D, E ane Correct option-