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Show that the points A(3,-2,1),B(1,-3,5)...

Show that the points A(3,-2,1),B(1,-3,5),C(2,1,-4) do not form a right-angled triangle.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Show that the following vectors are coplanar : 3hati-2hatj+4hatk,6hati...

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  2. Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3h...

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  3. Show that the points A(3,-2,1),B(1,-3,5),C(2,1,-4) do not form a right...

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  4. If the position vectors of the vertices of a triangle are : vecA=hati+...

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  5. If veca = hati + hatj+hatk, vecb = 2hati-hatj+3hatk and vecc = hati-2h...

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  6. Show that the four points A,B,C,D with position vectors veca*vecb*vecc...

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  7. Show that the four points P,Q,R,S with position vectors vecp,vecq,vecr...

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  8. Prove that the necessary and sufficient condition for three vectors ve...

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  9. If veca,vecb,vecc,vecd respectively, are position vectors representing...

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  10. If Q is the point of intersection of the medians of a triangle ABC, pr...

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  11. G is the centroid of a triangle ABC, show that : vec(GA)+vec(GB)+vec(G...

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  12. Let veca,vecb,vecc,vecd be the position vectors of the four distinct p...

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  13. Show that the line joining any vertex of a parallelogram to the mid-po...

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  14. Prove that the figure formed by joining the mid-points of the pairs of...

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  15. Show that if P,A,B are any three points, then lambda vec(PA)+mu vec(PB...

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  16. Obtain the dot product of the vectors : veca=veci-hatj+hatk and vecb=v...

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  17. Write the magnitude of a vector veca in terms of dot product.

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  18. If veca=7hati+hatj-4hatk and vecb=2hati+6hatj+3hatk find the projectio...

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  19. Let veca=2hati+3hatj+2hatk and vceb=hati+2hatj+hatk. Find the projecti...

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  20. Find the projection of the vector hati-hatj on the vector hati+hatj.

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