Q8 of 51 Page 26

Show that four points whose position vectors are are coplanar.

Formula : -


and then



(iii) Three vectorsare coplanar if and only if


(iv) If andthen,


let






The four points are coplanar if the vector are coplanar.



now, using



= 10(100 + 12) + 12( – 60 – 24) – 4( – 12 + 40) = 0.


hence the point are coplanar


More from this chapter

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6

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

 7

Show that the points A( – 1, 4, – 3), B(3, 2, – 5), C( – 3, 8, – 5) and D( – 3, 2, 1) are coplanar.

 9

Find the value of for which the four points with position vectors and are coplanar.

 10

Prove that : -