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Find a unit vector parallel to the sum o...

Find a unit vector parallel to the sum of the vectors `hati+hatj+hatk` and `2hati-3hatj+5hatk`.

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The correct Answer is:
`+-1/7(3hati-2hatj+6hatk)`
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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. If A, B and C are the vertices of a triangle ABC, prove sine formula t...

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  2. In a triangle OAC, if B is the mid point of side AC and vec(OA)=veca,v...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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