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Find the value of 'lambda' such that the...

Find the value of `'lambda'` such that the vectors `veca` and `vecb` are perpendicular (orthogonal), where : `veca=2hati+lambdahatj+hatk,vecb=hati-2hatj+3hatk`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Write the value of 'p' for which veca=3hati+2hatj+9hatk vecb=hati+phat...

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  2. Find the value of 'lambda' such that the vectors veca and vecb are per...

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  3. Find the value of 'lambda' such that the vectors veca and vecb are per...

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  4. If 2hati+hatj-3hatk and mhati+3hatj-hatk are perpendicular to each oth...

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  5. Show that the projection of vecb on veca ne vec0 is : ((veca*vecb)/(|v...

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  6. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

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  7. Find a unit vector perpendicular to each of the vector veca+vecb and v...

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  8. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

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  9. If veca=hati-hatj+7hatk and vecb=5hati-hatj+lambdahatk, then find the ...

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  10. If vecp=5hati+lambdahatj-3hatk and vecq=hati+3hatj-5hatk, then find th...

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  11. If veca=5hati-hatj+7hatk and vecb=hati-hatj-lambdahatk, then find the ...

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

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

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

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

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

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

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

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

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

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