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Show that |veca|vecb + |vecb|veca is pe...

Show that `|veca|vecb + |vecb|veca` is perpendicular to `|veca|vecb-|vecb|veca` for any two non zero vectors `veca` and `vecb`

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Prove that |veca|-|vecb| le|veca - vecb | .

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PSEB-VECTOR ALGEBRA-Exercise
  1. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

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  2. If veca = 2veci + 2vecj + 3veck, vecb = -veci + 2vecj + veck and vecc ...

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

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  4. If veca cdot veca = 0 and veca cdot vecab = 0, then what can be concl...

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  5. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

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  6. If either vector veca = 0or vecb = 0, then veca cdot vecb = 0.But the...

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  7. If the vertices A, B, C of a triangle ABC are (1,2,3), (-1,0,0), (0,1,...

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  8. Show that the points A(1,2,7), B(2,6,3) ਅਤੇ C(3,10,-1) are collinear.

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  9. Show that the points A(2veci-vecj+veck), B(veci-3vecj-5veck), C(3veci-...

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  10. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

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  11. Find |vecaxxvecb|, if veca = veci - 7vecj + 7veck and vecb = 3veci - 2...

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

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

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

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  15. lambda ਅਤੇ mu ਪਤਾ ਕਰੋ, ਜੇਕਰ (2veci+6vecj+27veck)xx(veci+lambdavecj+muv...

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

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  17. Let the vectors veca, vecb, vecc be given as veca1hati + veca2hatj + v...

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

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

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  20. Find the area of the parallelogram whose adjacent sides are determined...

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