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Find the vector equation of the lin...

Find the vector equation of the line passing through the point with position vector ` 2 hati - hatj + hatk ` and parallel to the line joining the points with position vectors ` - hati + 4hatj + hatk and hati + 2 hatj + 2 hatk `. Also, find the cartesian equation of the line.

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The correct Answer is:
`vecr=(2hati-hatj+hatk)+lambda(2hati-2hatj+hatk)` and `(x-2)/(2)=(y+1)/(-2)=(z-1)/(1)`
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CBSE COMPLEMENTARY MATERIAL-THREE DIMENSIONAL GEOMETRY -FOUR MARK QUESTIONS
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  8. Find the image of point (3,-2,1) in the plane 3x- y + 4z = 2.

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  10. find the equation of a plane passing through the points (2,-1,0) and (...

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  12. Find the equation of the plane passing through the points (2,-1,0) and...

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  13. Show that the lines (x+1)/(3)=(y+3)/(5) =(z+5)/(7) " and " (x-2)/(1...

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  14. Find the shortest distacne between the lines vecr=hati+2hatj+3hatk+m...

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  15. Find the distacne of the point (2,3,-4) from the line (x+2)/(3)=(2y+3)...

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  16. Find the equation of plane passing through the point (-1,-1,2) and pe...

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  17. Find the equation of a plane passing through (-1,3,2) and parallel to ...

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  18. Show that the plane vecr.(hati-3hatj+5hatk)=7 contains the line vecr=(...

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  19. Check the co planarity of lines vecr=(-3hati+hatj+5hatk)+lambda(-3h...

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