planes in 3-space?

1 ⤊

Are the planes x+3y-z=2 and 3x-y=11 perpendicular?Explain.

2006-12-01 13:08:31 · 2 answers · asked by kondiii 1 in Science & Mathematics ➔ Mathematics

The normals are (1,3,-1) and (3,-1,0) respectively. The dot product of those is 1*3 + 3*-1 + -1*0 = 0. So yes, they are perpendicular.

2006-12-01 13:10:12 · answer #1 · answered by stephen m 4 · 1⤊ 0⤋

I've failed calculus last year and your asking that:-j:))

2006-12-01 21:17:07 · answer #2 · answered by Paolo 3 · 0⤊ 1⤋