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Given that veca cdot vecb = 0 and vecaxx...

Given that `veca cdot vecb = 0` and `vecaxxvecb = vec0`. What can you conclude about the vectors `veca` and `vecb`?

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MODERN PUBLICATION-VECTORS-Exercise
  1. Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Show that the points A(1,-2,-8), B(5,0,-2) and C(11,3,7) are collinear...

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  18. Find the position vector of a point R which divides the line joining t...

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  19. The two adjacent sides of a parallelogram are given by the vectors 2ha...

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  20. Show that the direction cosines of a vector equally inclined to the ax...

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