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

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find a vector in the direction of vector 5 hati-hatj+2 hatk which has ...

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

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

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  4. Find the, direction cosines of the vector joining 'A(1,2,-3)' and 'B(-...

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  5. Show that the vector overset^^i+overset^^j+overset^^k is equally incli...

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

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  7. Find the position vector of the mid point of the vector joining the po...

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  8. Show that the points A, B and C with position vectors veca=3i-4j-4k,ve...

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  9. In triangle 'ABC', which of the following is not true. (##VPUHSSMATX...

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  10. If oversetrarra"and"oversetrarrbare two collinear vectors, then which ...

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  11. Find the angle between two vectors veca and vecb with magnitudes 1 and...

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  12. Find the angle between the vectors veca=hati+hatj-hatk and vecb=hati-h...

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  13. If veca=5i-j-3k and vecb=i+3j+5k,then show that the vectors veca+vecb,...

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  14. Find the projection of the vector veca=2 hati+3 hatj+2 hatk on the vec...

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  15. Find |veca-vecb|, if two vectors veca and vecb are such that |veca|=2,...

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  16. If veca is a unit vector and (vecx-veca) .(vecx+veca)=8, then find |ve...

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  17. For any two vectors veca and vecb, we always have |veca+vecb| le|veca|...

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  18. Show that the points A(-2 hati+3 hatj+5 hatk), B(hati+2 hatj+3 hatk) a...

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  19. Find the angle between two vectorsoversetrarra"and"oversetrarrb with m...

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  20. Find the angle between the vectors hati-2 hatj+3 hatk and 3 hati-2 hat...

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