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Find the sum of the following vectors ...

Find the sum of the following vectors
`veca=hati-2hatj,vecb=2hati-3hatj,vecc=2hati+3hatk`.

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

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

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.

Find the unit vector in the direction of the sum of the vectors, veca = 2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

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

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

For what value of 'lambda' is the following vectors coplanar ? veca=hati+3hatj+hatk,vecb=2hati-hatj-hatk and vecc=lambda hatj+3hatk .

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

MODERN PUBLICATION-VECTORS-Exercise
  1. Answer the following ad true or false : Two collinear vectors having t...

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  2. Find the sum of the following vectors veca=hati-3hatk,vecb=2hatj-hat...

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  3. Find the sum of the following vectors veca=hati-2hatj,vecb=2hati-3ha...

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

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  5. If veca=-vecb, is it true that |veca|=|vecb|?

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  6. If |veca|=|vecb|, is it true that veca=+-vecb?

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  7. If |veca|=|vecb|, is it true that veca=vecb?

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  8. kveca=vec0 gives rise to what alternatives for k and veca ?

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  9. If veca=2hati+3hatj and vecb=3hati+4hatj. Find the magnitude of veca+v...

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  10. For two non-zero vectors veca and vecb, write when |veca+vecb|=|veca|+...

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  11. Vectors drawn from the origin to the point A,B and C are respectively ...

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  12. Give a condition that the three vectors veca,vecb and vecc form the th...

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  13. D,E,F are mid-points of the sides of the triangle ABC, show that for a...

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  14. In pentagon ABCDE, prove that : vec(AB)+vec(BC)+vec(CD)+vec(DE)+vec(EA...

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  15. ABCD is a parallelogram and AC, BD are its diagonals. Show that : vec(...

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  16. ABCDEF is a regular hexagon. Show that : vec(OA)+vec(OB)+vec(OC)+vec(O...

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  17. If ABCDEF is a regular hexagon and AB+AC+AD+AE+AF=lamdaAD, then lamda ...

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  18. ABCDEF is a regular hexagon. Show that : vec(AB)+vec(AC)+vec(AD)+vec(A...

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  19. Prove that |veca|-|vecb| le|veca - vecb |.

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  20. If veca+5vecb=vecc and veca -7 vecb =2vecc, then show that veca has th...

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