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Find a vector of magnitude 5 units, and ...

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors `veca = 2hati + 3hatj - hatk` and `vecb = hati-2hatj+hatk`

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The correct Answer is:
`3/2sqrt(10)hati+1/2sqrt(10)hatj`
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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. In a triangle OAC, if B is the mid point of side AC and vec(OA)=veca,v...

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  2. Find a unit vector parallel to the sum of the vectors hati+hatj+hatk a...

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

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  4. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  5. Show that the points (-2,3,5), (1,2,3) and (7,0,-1) are collinear.

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

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  7. Find a vector of magnitude 5sqrt(2) units which makes an angle of (pi)...

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  8. Write the value of the cosine of the angle which the vector veca=hati+...

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  9. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

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  10. The vectors veca=3hati+xhatj and vecb=2hati+hatj+yhatk are mutually pe...

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  11. Find the values of lamda for which the angle between the vectors veca=...

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  12. If veca and vecb are two unit vectors such that veca+vecb is also a un...

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  13. If veca and vecb are two vectors such that |veca+vecb|=|veca|, then pr...

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  14. Write the projection of the vector 7hati+hatj+4hatk on the vector 2hat...

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  15. If veca=hati+2hatj-hatk, vecb=2hati+hatj+hatk and vecc=5hati-4hatj+3ha...

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  16. Express the veca=5hati-2hatj+5hatk as sum of two vectors such that one...

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  17. Show that the point whose position vectors are veca=4hati-3hatj+hatk,v...

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

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  19. If a unit vector veca makes angle (pi)/(4) with hati , (pi)/(3) with ...

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

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