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The adjacent sides of a parallelogram ar...

The adjacent sides of a parallelogram are represented by the vectors ` vec a= hat i+ hat j- hat k\ a n d\ vec b=-2 hat i+ hat j+2 hat kdot` Find unit vectors parallel to the diagonals of the parallelogram.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Find the magnitude of the vectors vec a=2 hat i+3 hat j-6 hat kdot

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  2. Find the unit vector in the direction of 3 hat i+4 hat j-12 hat kdot

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  3. The adjacent sides of a parallelogram are represented by the vectors ...

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  4. If vec a=3 hat i- hat j-4 hat k ,\ vec b=-2 hat i+4 hat j-3 hat k\ a...

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  5. If vec P Q=3 hat i+2 hat j- hat k and the coordinates of P are (1,-1,...

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  6. Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat ...

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  7. If the vertices A ,\ B ,\ C of a triangle ABC are the point with posit...

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  8. Find the position vector from the origin O to the centroid of the tria...

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  9. Find the position vector of a point R which divides the line joinin...

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  10. Find the unit vector in the direction of vector vec P Q , where P a...

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  11. Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 h...

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  12. Find the position vector of the mid point of the vector joining the ...

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  13. Find the value of x for which x\ ( hat i+ hat j+ hat k) is a unit vect...

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  14. If vec a= hat i+ hat j+ hat k , vec b=4 hat i-2 hat j+3 hat k and ve...

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  15. If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d...

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  16. Two vectors hat j + hat k and 3 hat i - hat j + 4 hat k represents t...

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

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  18. If a\ a n d\ b ar non collinear vector such that x1 vec a+y1 vec b=x2 ...

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  19. Show that the points with position vectors vec a-2 vec b+3 vec c ,\ -...

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  20. Show that the three points A(-2, 3,5); B(1, 2, 3) and C(7, 0, -1) are ...

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