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What is vector equation of the line

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The cartesian equation of a line is 6x - 2 = 3y + 1 = 2z - 2 . Find :(a) the direction-ratios of the line, and (b) vector equation of the line parallel to this line and· passing through the point (2, - 1, - 1).

Find the cartesian as well as the vector equation of the line passing through : (0,-1,4) and parallel to the straight line : (-x-2)/1=(y+3)/7=(2z-6)/3

Find the cartesian as well as the vector equation of the line passing through : (-1,2,3) and parallel to the line: (x-3)/2=(y+1)/3=(z-1)/6

The Cartesian equation of a line is (x-3)/2=(y+1)/(-2)=(z-3)/5 . Find the vector equation of the line.

Parametric equations a line are x=2-3t, y=-1+2t and z=3+t. write down the vector equations of the line.

If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4 , write the vector equation for the line.

Find the vector equation of the line which is parallel to the vector 3hati-2hatj+hatk and which passes through the point (1,-2,3).

find the vector equations of the line which is parallel to the vector 3hati-2hatj+6hatk and which is passes through the point (1,-2,3)

Find the vector equation of the line through the point (2,-1,-1) and is parallel to the line 6x-2=3y+1=2z-2 .

Find the vector equation of the line joining the points A(1,-1,2) and B(1,-2,0).

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  2. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  3. If vec a=6hat(i)+7hat(j)+7hat(k), find the unit vector along with this...

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  4. If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a poin...

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  5. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

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  6. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

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  7. Expand |(3, 6), (5,0)|

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  8. If b be the foot of perpendicular from A to the plane rcdothat(n)=d, t...

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  9. What is vector equation of the line

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  10. A circle is the locus of a point in a plane such that its distance fro...

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  11. A circle is the locus of a point in a plane such that its distance fro...

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  12. A circle is the locus of a point in a plane such that its distance fro...

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  13. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

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  14. let vec a = 2hat i +3hat j and vec b = hat i +4hat j then find project...

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  15. Assuming the plane 4x-3y+7z=0 to be horizontal, the direction cosines ...

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  16. Assuming the plane 4x-3y+7z=0 to be horizontal, the direction cosines ...

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  17. The line of greatest slope on an inclined plane P1 is the line in the ...

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  18. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). P...

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  19. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

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  20. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

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