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Find a unit vector perpendicular to each of the vector `veca + vecb` and `veca - vecb` where `veca = 3veci + 2vecj + 2veck` and `vecb = veci + 2vecj - 2veck`

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Find a unit vector perpendicular to each of the vectors (veca+vecb) and (veca-vecb) , where : veca=hati+hatj+hatk and vecb=hati+2hatj+3hatk .

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MODERN PUBLICATION-VECTORS-Exercise
  1. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

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  2. Find |vecaxxvecb| if veca=hati-7hatj+7hatk and vceb=3hati-2hatj+2hatk.

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

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  4. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

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

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  6. Find lambda and mu if : (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)...

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  7. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

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  8. Let the vectors veca,vecb,vecc be given as : a1hati+a2hatj+a3hatk,b1ha...

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  9. If either veca = vec0or vecb = vec0 then vecaxxvecb= vec0. Is the con...

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  10. Find the area of the triangle with vertices A(1,12), B(2,3,5), C(1,5,5...

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  11. Determine the area of a parallelogram whose adjacent sides are represe...

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  12. Let the vectors veca and vecb be such that |veca| = 3 and |vecb| = sqr...

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  13. Area of a rectangle having vertices A, B, C and D with position vector...

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  14. Write down a unit vector in XY-plane, making an angle of 30^o with the...

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  15. Find the scalar components and magnitude of the vector joining the poi...

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  16. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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  17. If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...

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  18. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

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  19. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  20. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...

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