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If 2hati+hatj-3hatk and mhati+3hatj-hatk...

If `2hati+hatj-3hatk` and `mhati+3hatj-hatk` are perpendicular to each other, then find `'m'`. Also find the area of the rectangle having these two vectors as sides.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find the value of 'lambda' such that the vectors veca and vecb are per...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Three vectors veca, vecb, vecc satisfy the condition veca+vecb+vecc=v...

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