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Show that the vectors 2hati-3hatj+4hatk ...

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

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For what value of 'a' the vectors 2hati-3hatj+4hatk and ahati+6hatj-8hatk are collinear?

Find a if the vectors vecx=2hati-3hatj+4hatk and vecy=ahati+6hatj-8hatk are collinear?

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

Show that the three points with position vectors hati+2hatj+7hatk , 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear.

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.

Show that the three points with position vectors 2hati+6hatj+3hatk , hati+2hatj+7hatk and 3hati+10hatj-hatk are collinear.

MODERN PUBLICATION-VECTORS-Exercise
  1. Find the sum of the following vectors veca=hati-3hatk,vecb=2hatj-hat...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Write two different vectors having same magnitude.

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