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For any two vectors veca and vecb, we al...

For any two vectors `veca` and `vecb`, we always have `|veca+vecb| le|veca|+|vecb|` (triangle ineuality)

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find |veca-vecb|, if two vectors veca and vecb are such that |veca|=2,...

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

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

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

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

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

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

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  8. Find the projection of a vector i+3j+7k on the vector 7i-j+8k.

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  9. Show that each of the given three vectors is a unit vector :1/7(2overs...

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  10. Find |veca| and |vecb|, if (veca+vecb) .(veca-vecb)=8 and |veca|=8|vec...

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  11. Evaluate the product (3 veca-5 vecb) .(2 veca+7 vecb)

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  12. Find the magnitude of two vectors oversetrarra"and"oversetrarrb, havin...

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  13. Find |vecx|, if for a unit vector veca,(vecx-veca) .(vecx+veca)=12'

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  14. If" " oversetrarra=2overset^^i+2overset^^j+3overset^^k," " oversetrarr...

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  15. Show that""|oversetrarra|oversetrarrb +|oversetrarrb| oversetrarra"" i...

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  16. If veca.veca=0 and veca. vecb=0, then what can be concluded about the ...

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  17. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, fin...

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  18. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

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  19. If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2)re...

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  20. Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are...

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