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If either veca=vec0"or" vecb =vec0, "the...

If either `veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0`.Is the converse true? Justify your answer with an example.

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If veca.veca=0 and veca. vecb=0, then what can be concluded about the ...

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

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

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

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  6. Show that the vectors 2 hati-hatj+hatk, hati-3 hatj-5 hatk and 3 hati-...

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  7. If a is a non-zero vector of magnitude'a' and lambda a non-zero scala...

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  8. Show that the area of a parallelogram with diagonals veca and vecb is ...

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  9. Find |veca xx vecb| if veca=2 hati+hatj+3 hatk and vecb=3 hati+5 hatj-...

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  10. Find a unit vector perpendicular to each of the vectors (veca +vecb) a...

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  11. Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...

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  12. Find the area of a parallelogram whose adjacent sides are given by the...

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  13. Find |veca xx vecb|, if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 h...

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  14. Find a unit vector perpendicular to each of the vector veca+vecb, and ...

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  15. Choose the correct answer from the backet. If a unit vector hata makes...

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  16. Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

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  17. Find lambdaand mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^...

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  18. Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...

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  19. Let the vectors 'veca, vecb, vecc' be given as 'a1 hati+a2 hatj+a3 hat...

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

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