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If a unit vector veca, makes angles pi/...

If a unit vector `veca`, makes angles `pi/3`with `hati`, `pi/4`wih `hatj` and an acute angle `theta` with `hatk`, then find `theta` and hence, the components of `veca`.

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The correct Answer is:
`(pi)/3`
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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. If the sum of two unit vectors is a unit vector, show that the magnitu...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Dot product of a vector with vectors hati-hatj+hatk,2hatk+hatj+3hatk a...

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  19. If veca+vecb+vecc=vec0 and |veca|=3,|vecb|=5,|vecc|=7, show that the a...

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  20. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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