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Show that the lines vecr=(4veci+5vecj+6v...

Show that the lines `vecr=(4veci+5vecj+6veck)+t(2veci+3vecj+4veck) and vecr=(2veci+3vecj+4veck)+s(3veci+4vecj+5veck)` are coplanar. Find the equation of the plane in which they lie.

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Verified by Experts

The correct Answer is:
`-x-2y+z=0`
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PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Answer the following questions)
  1. Show that (veca xx vecb) *(vecc xx vecd) +(vecb xx vecc) *(veca xx vec...

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  2. Find the vector and cartesian equation of the line through the point (...

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  3. Find the vector and cartesian equation of the line joining the points ...

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  4. Find the angle between the lines (x-1)/(2)=(y+1)/(3)=(z-4)/(6) and vec...

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  5. Find the distance between the parallel lines vecr=(hati-hatj)+t(2hati-...

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  6. Show that the lines vecr=(hati-hatj)+t(2hati+hatk) and vecr=(2hati-hat...

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  7. Find the vector and cartesian equation of a plane which is at a distan...

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  8. Find the vector and cartesian equation of the plane passing through (2...

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  9. Find the vector and cartesian equation of the plane passing through (2...

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  10. Find the Vector and Cartesian equation of the plane containing the lin...

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  11. Find the vector cartesian equation of the plane passing through the po...

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  12. Find the vector and certesian equation of the plane through the points...

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  13. Find the equation of the plane passing through the points (3, 4, 2), (...

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  14. Find the equation of the plane passingthrough the intersection of the...

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  15. Find the distance between the parallel planes vecr*(-hati-hatj+hatk)=3...

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  16. Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...

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  17. The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :

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  18. If abs(veca+vecb)=abs(veca-vecb) prove that veca and vecb are perpendi...

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  19. Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...

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  20. Show that the lines vecr=(4veci+5vecj+6veck)+t(2veci+3vecj+4veck) and ...

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