Proving coplanarity of four points

Coplanarity of points

Coplanar points are the points that are in the same plane.Thus,Can 150 points be coplanar? Can 3 points be non-coplanar?

Prove that the four points (4hati + 5 hatj+hatk), - (hatj +hatk),(3hati+9hatj+4hatk) and 4 (-hati+hatj+hatk) are coplanar.

Prove that the four points 4veci+5veci+veck, -(vecj+veck),3veci+9vecj+4veck and 4(-veci+vecj+veck) are coplanar

Prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc,3veca+4vecb-2vecc and veca-6vecb+6vecc are coplanar where veca,vecb,vecc are non-coplanar vectors

If bar(a),bar(b),bar(c) are non-coplanar vectors.Prove that the four points -bar(a)+4bar(b)-3bar(c) , 3bar(a)+2bar(b)-5bar(c) , -3bar(a)+8bar(b)-5bar(c) , -3bar(a)+2bar(b)+bar(c) are coplanar.

Prove that the four points having position vectors are coplanar: 2hat i-hat j+hat k,hat i-3hat j-5hat k and 3hat i-4hat j-4hat k

Prove that the four points having position vectors are coplanar: hat i+hat j+hat k,2hat i+3hat j-hat k and -hat i-2hat j+2hat k

Prove that the four points having position vectors are non-coplanar; 3hat i+hat j-hat k,2hat i-hat j+7hat k and 7hat i-hat j+23hat k