Question

suppose v=<4,-2,3>.Then
1) <0,2,1> is perpendicular to v
2) <5,5,1> is neither to v
3) <6,-3,4.5> is parallel to v
4) <8,-14,-20> is parallel to v
are my answers right for 1to 4? the choices were parallel, neither or perpendicular

Answer 1

they are all wrong

vectors are parallel when components are proportional ( v and kv are parallel)

perpendicular vectors must have dot product of zero

Answer 2

when it's 0, it's orthogonal.