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If veca=5i-j-3k and vecb=i+3j+5k,then sh...

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

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find the angle between two vectors veca and vecb with magnitudes 1 and...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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