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Find the scalar product of the following...

Find the scalar product of the following pairs of vectors and the angle between them : `hati+3hatj-8hatk` and `-3hati-5hatj+4hatk`.

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Find the angle between the vectors veca=hati-hatj+hatk and hatb=hati+hatj-hatk .

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MODERN PUBLICATION-VECTORS-Exercise
  1. If veca=5hati-hatj+7hatk and vecb=hati-hatj-lambdahatk, then find the ...

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  2. Find the scalar product of the following pairs of vectors and the angl...

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  3. Find the scalar product of the following pairs of vectors and the angl...

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  4. Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4...

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  5. The position vectors of the vertices of /\ABC are : 3hati-4hatj-4hatk,...

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

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  7. If veca+vecb+vecc=vec0, |veca|=3,|vecb|=5 and |vecc|=7, find the angle...

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  8. If |veca+vecb|=|veca-vecb| then show that veca and vecb are perpendicu...

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  9. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

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  10. Prove that (veca+vecb) cdot (veca+vecb) = |veca|^2 + |vecb|^2, if and ...

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  11. Three vectors veca, vecb, vecc satisfy the condition veca+vecb+vecc=v...

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  12. If the vectors veca,vecb and vecc satisfy the condition veca+vecb+vecc...

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  13. The scalar product of the vector veca=hati+hatj+hatk with a unit vecto...

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  14. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

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  15. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

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  16. IF veca=3hati+hatj-4hatk,vecb=6hati+5hatj-2hatk and |vecc|=3, find the...

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  17. If veca=hati+4hatj+2hatk , vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+...

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  18. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  19. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  20. If veca=hati-hatj, vecb= 3hatj-hatk and vecc=7hati-hatk. Find a vector...

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