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(i) Find the direction cosines of the ve...


(i) Find the direction cosines of the vectors `10veci-3vecj-4veck`.

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The correct Answer is:
`=((10)/(sqrt125),(-3)/(sqrt125),(-4)/(sqrt125))`
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PREMIERS PUBLISHERS-Vector Algebra -I-Choose Correct Option
  1. (i) Find the direction cosines of the vectors 10veci-3vecj-4veck.

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  2. If vec a,vecb,vecc are sides of triangle taken in order then avec+bvec...

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  3. Let O be the origin . Let A and B be two points whose position vectors...

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  4. Let vecr=xveci+yvecj+zveck be the position vector of any point and let...

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  5. If m(veci+vecj+veck) is a unit vector then value of m is:

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  6. A vector vecOP makes 60^(@) each with positive direction of x and y ax...

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  7. If veca =veci-2vecj+veck,vecb=2veci-vecj+2veck, vecc=3veci+vecj-veck b...

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  8. If O is the origin and A,B are the points (2,1,-3) and (1,1,1) respect...

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  9. For any two vectors veca and vecb|veca X vecb|^(2)+|veca.vecb| is:

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  10. If veca,vecb and vecc are three unit vectors satisfying veca-vecb-sqrt...

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  11. Show that vecaxx(vecb+vecc)+vecbxx(vecc+veca)+veccxx(veca+vecb)=vec0.

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  12. Two vertices of a triangle hence position vetors 2veci+4vecj-5veck and...

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  13. If 2veca+6vecb and 3veca+mvecb are parallel then the vector of m is:

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  14. Match the following

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  15. Find the incorrect statement

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  16. Find the incorrect statement

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  17. Find the correct statement

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  18. Find the correct statement: Given vec OA =veca, vecOB=vecb and vecOP =...

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  19. The vectors veca-vecb,vecb-vecc,vecc-veca are

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  20. Find the odd man out.

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  21. Find which in suitable for the blank space given below:|veca.vecb|…….....

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