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If either veca = vec0or vecb = vec0 then...

If either `veca = vec0`or `vecb = vec0` then `vecaxxvecb= vec0`. Is the converse true? Justify your answer with an example.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  20. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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