Show that the four points having position vectors are not coplanar.

Question

Philoid · Accepted Answer

Formula : -

andthen,

andthen

Given: -

The four points are coplaner if vector AB⃗,AC⃗,AD⃗ are coplanar.

now, using

= 10(100 + 72) + 12( – 60 – 24) – 4( – 72 + 40) = 840

≠0.

hence the point are not coplanar