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Show that the four point `(0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4)` are coplanar and find the equation of the common plane.

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Show that the four point (0,-1,-1),(4,5,1),(3,9,4) and (-4,4,4) are coplanar and find the equation of the common plane.

Show that the point (0, -1, -1), (4 5, 1), (3, 9, 4) and (-4, 4, 4) are coplanar and find the equation of the common plane.

(a) show that the following four points are coplanar : (i) (4,5,1), (0,-1,-1) ,(3,9,4) and (-4,4,4) (ii) (0,-1,0), (2 , 1 , -1) , (1,1,1) and (3,3,0). (b) Show that the four points : (0,-1,-1), (4,5,1), (3,9,4) and (-4,4,4) are coplanar. Also,find the equation of the plane containing them .

Show that the four points (0,-1,-1),(-4,4,4),(4,5,1) and (3,9,4) are coplanar.Find the equation of plane containing them.

Show that the four points A(0,-1,0), B(2,1,-1), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

Show that the four points A(1,-1,1), B(2,3,1),C(1,2,3) and D(0,-2,3) are coplanar. Find the equation of the plane containing them.

Show that the four points A(3,2,-5, B(-1,4,-3), C(-3,8,-5) and D(-3,2,1) are coplanar. Find the equation of the plane containing them.

Show that the point A(4,-1,2), B(-3,5,1), C(2,3,4) and D(1,6,6) are coplanar. Also find the equation of the plane passing through these points.

Show that the points A(-1,4,-3), B(-3,2,1),C(3,2,-5) and D(-3,8,-5) are coplanar. Also find the equation of the plane passing through these points.

. Show that the points A(2,1,-1),B(0,-1,0),C(4,0,4) and D(2,0,1) are coplanar.

A DAS GUPTA-Vectors and Addition of Vectors-Exercise
  1. If O is the circumcentre and P the orthocentre of Delta ABC, prove tha...

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  2. If O is the circumcentre and P the orthocentre of Delta ABC, prove tha...

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  3. If S is circumcentre, O is orthocentre of DeltaABC, then vec(SA)+vec(...

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  4. If ABCDEF is a regular hexagon, prove that vec(AC)+vec(AD)+vec(EA)+vec...

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  5. In Fig. ABCDEF is a regular hexagon. Prove that vec(AB) +vec(AC) +ve...

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  6. Find area of the triangle formed by the points (1,2,3), (-1,-1,8) and ...

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  7. The vectors of A,B,C and D are respectively 2 vec I + 3 vec j + 5 vec ...

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  8. Find all lambda in R such that (x,y,z)!=(0,0,0) and (vec i + vec j + 3...

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  9. What is the unit vector hat a parallel to the vector vec a= 3 vec I + ...

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  10. Vectors vec a, vec b are noncollinear. Find x so that the vectors (x-...

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  11. The position vectors of the points A,B,C are vec a, vec b, vec c respe...

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  12. If three vector 2veci-vecj-veck,veci+2vecj-3veck,3veci+lambdavecj+5vec...

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  13. If vec a, vec b, vec c are three non collinear vectors then show that ...

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  14. If the points A(2,3,-4), B(1,-2,3) and C(3,lambda,-1) are colliner, th...

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  15. Show that the four point (0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4) are co...

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  16. Three non-zero vectors vec(a), vec(b), vec(c) are such that no two of ...

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