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Show that the points with position vectors `veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatk and vecc=hati-3hatj-5hatk` respectively form the vertices of a right angled triangle.

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Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatk and vecc=hati-6hatj-7hatk

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Show that the following vectors are coplanar : veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk .

Show that the point whose position vectors are veca=4hati-3hatj+hatk,vecb=2hati-4hatj+5hatk,vecc=hati-hatj form a right angled triangle.

Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4hatj-4hatk form the vertices of a right angled triangle.

Show that the three points with position vectors -2hati+3hatj+5hatk , hati+2hatj+3hatk and 7hati-hatk are collinear.

If veca=2hati-hatj+hatk,vecb=3hati+2hatj-3hatk and vecc=hati+2hatj+hatk then 2veca+vecb-vecc=

MODERN PUBLICATION-VECTORS-Exercise
  1. Find the position vector of a point R which divides the line joining t...

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  2. Find the position vector of the mid-point of the vector joining the po...

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  3. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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  4. In triangle ABC, which of the following is not true :

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  5. If veca and vecb are two collinear vectors, then which of the followi...

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  6. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  7. Find the angle between the vectors veca=hati-2hatj+3hatk and vecb=3hat...

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

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  9. Find the projection of the vector hati+3hatj+7hatk on the vector 7hati...

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  10. Show that each of the given three vectors is a unit vector : 1/7(2hati...

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  11. Find |veca| and |vecb|, if (veca+vecb)*(veca-vecb)=8 and |veca|=8|vecb...

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  12. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

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  13. Find the magnitude of two vectors veca and vecb, having the same magni...

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  14. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

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  15. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

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  16. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

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  17. If veca*veca=0 and veca*vecb=0, then what can be concluded about the v...

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  18. If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0, find...

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  19. If either vector veca=vec0 or vecb=vec0, then veca*vecb=vec0. But the ...

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  20. If the vertices A, B, C of a triangle ABC are (1,2,3), (-1,0,0), (0,1,...

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