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Write the cartesian and vector equation ...

Write the cartesian and vector equation of x- axis.

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The correct Answer is:
`(x-x_(1))/(a)=(y-y_(1))/(0)=(z-z_(1))/(0),ane0;vec(r)=vec(alpha)+t(ahat(i)),ane0`
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(i) Find the vector equation of a line passing through a point with position vector 2hat(i)-hat(j)+hat(k) , and parallel to the line joining the points -hat(i)+4hat(j)+hat(k) and hat(i)+2hat(j)+2hat(k) . Also find the cartesian equivalent of this equation. (ii) The cartesian equations of a line are 6x-2=3y+1=2z-2 . Find its direction ratios and also find vector equation of the line.

The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its direction ratios and also find a vector equation of the line.

Write the vector equation of the following lines and hence determine the distance between them : (x-1)/(2)=(y-2)/(3)=(z+4)/(6),(x-3)/(6)=(z+5)/(12)

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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. If the line (x-x(1))/(a)=(y-y(1))/(b)=(z-z(1))/(c) is parallel to z-ax...

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  2. The equation of a line passing through the points (1,2,3) and (4,5,6) ...

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  3. Write the cartesian and vector equation of x- axis.

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  4. The cartesian equation of a line is (2x-5)/(3)=(6-3y)/(2)=(z+1)/(6) . ...

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  5. Write the direction cosines of the line 6x-2=3y+1=2z-4.

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  6. Write the coordinate axis to which the line (x-5)/(2)=(y+6)/(0)=(z-3)/...

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  7. Write the vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2).

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  8. Find the equation in vector form of a line which is parallel to the ve...

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  9. Find the vector and cartesian equations of the line through the point ...

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  10. The cartesian equation of a line is (x+3)/(2)=(y-5)/(4)=(z+6)/(2). the...

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  11. The cartesian equation of a line is 3x+2=5y-4=3-z. Find a point on t...

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  12. The cartesian equations of a line are 3x+1=6y-2=1-z. Find the fxed poi...

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  13. Find the equation of the line which passes through (1,2,-4) and (4,-5,...

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  14. The equation of a line is given by x=by+c, z=ay+d, write it in cartes...

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  15. Let the position vectors of the points P, Q and R are respectively giv...

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  16. Show that the poins whose position vectors are 4hat(i)+5hat(k),hat(i)+...

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  17. Find the points on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distanc...

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  18. Show that the line joining the points P and Q with position vectors ve...

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  19. (i) Find the vector equation of a line passing through a point with po...

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  20. The angle between the straight lines (x-4)/(2)=(y-5)/(0)=(z-6)/(0) and...

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