a,b,c are three non-coplanar vectors. Show that the points with p.y's 6a-4b+10c,-5a+3b-10c,4a-6b-10c and 2b+10c are coplanar.
Text Solution
AI Generated Solution
Topper's Solved these Questions
VECTOR
FIITJEE|Exercise EXERCISE 3|3 Videos
VECTOR
FIITJEE|Exercise EXERCISE 4|2 Videos
VECTOR
FIITJEE|Exercise EXERCISE 1|2 Videos
TRIGONOMETIC EQUATIONS
FIITJEE|Exercise NUMERICAL BASED|3 Videos
Similar Questions
Explore conceptually related problems
ia,b,c are three non-coplanar vectors.Show that the points with p.v.6vec a-4vec b+10vec c,-5vec a+3vec b-10vec c,4vec a-6vec b-10vec c and 2vec b+10vec c are coplaner
If a,b and c are non-coplanar vectors, then prove that the four points 2a+3b-c,a-2b+3c,3a+4b-2c and a-6b+6c are coplanar.
If a,b,c are non-coplanar vectors and lamda is a real number, then the vectors a+2b+3c,lamdab+4c and (2lamda-1)c are non-coplanar for
If vec a, vec b, vec c are three non collinear vectors then show that the following points are collinear. 6 vec a - 4 vec b + 10 vec c, -5 vec a + 3 vec b - 10 vec c, 4 vec a - 6 vec b - 10 vec c and 2 vec b + 10 vec c