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Find the sum of the vectors veca=hati-2h...

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 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.

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

Find lambda , if the vectors veca=hati+3hatj+hatk,vecb=2hati-hatj-hatk and vecc=lambdahatj+3hatk are coplanar.

The sum of the vectors veca=hati-3hatk, vecb=2hatj-hatk,vecc=2hati-3hatj+2hatk is 3hati-hatj-2hatk .

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

MODERN PUBLICATION-VECTORS-Exercise
  1. Find the values of x and y so that the vectors 2veci+3vecj and xveci+y...

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  2. Find the scalar and vector components of the vector with initial point...

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  3. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5ha...

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  4. Find the unit vector in the direction of the vector veca=hati+hatj+2ha...

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  5. For given vectors,veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk , fin...

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  6. Find a vector in the direction of 5hati-hatj+2hatk, which has magnitud...

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  7. Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are col...

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  8. Find the direction cosines of the vector hati+2hatj+3hatk

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  9. Find the direction cosines of the vector joining the points A(1,2,-3) ...

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  10. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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  11. Find the position vector of a point R which divides the line joining t...

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  12. Find the position vector of a point R which divides the line joining t...

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

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

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

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

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

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

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

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

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