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If either vector veca = 0or vecb = 0, t...

If either vector `veca = 0`or `vecb = 0`, then `veca cdot vecb = 0`.But the converse need not be true. Justify your answer with an example.

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PSEB-VECTOR ALGEBRA-Exercise
  1. If veca cdot veca = 0 and veca cdot vecab = 0, then what can be concl...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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