A unit vector parallel to the straight l...

A unit vector parallel to the straight line `(x-2)/3=(3+y)/(-1) = (z-2)/(-4)` is

`1/sqrt26(3hati-hatj+4hatk)`

`1/sqrt26(hati+3hatj-hatk)`

`1/sqrt26(3hati-hatj-4hatk)`

`1/sqrt26(3hati+hatj+4hatk)`

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The vector equation of the straight line (1-x)/3 =(y+1)/(-2) =(3-z)/(-1) is

Find the parametric form of vector equation and Cartesian equtions of the straight line passing through the point (-2,3,4) and parallel to the straight line (x-1)/(-4)=(y+3)/(5)=(8-z)/(-6)

Find the vector parametric, vector non-parametric and Cartesian form of the equation of the plane passing through the points (-1, 2, 0), (2, 2, -1) and parallel to the straight line (x-1)/(1)=(2y+1)/(2)=(z+1)/(-1)

Find the non-parametric form of vector equation, and Cartesian eqution of the plane passing through the point (2,3,6) and parallel to the straight lines (x-1)/(2)=(y+1)/(3)=(z-3)/(1)and(x+3)/(2)=(y-3)/(-5)=(z+1)/(-3).

Find the acute angle between the straight lines (x-4)/(2)=(y)/(1)=(z+1)/(-2) and (x-1)/(4)=(y+1)/(-4)=(z-2)/(2) state whether they are parallel or perpendicular.

For what value of (vec(a)) will the straight lines (x+2)/(2)=(y)/(-3)=(z-1)/(4)and(x-3)/(a)=(y-1)/(4)=(z-7)/(a) be perpendicular?

Find the vector and cartesian equation of the plane passing through (2, -1, -3) and parallel to the line (x-5)/(3)=(y+1)/(2)=(z-3)/(-4) and (x+10)/(2)=(y-10)/(3)=(z-2)/(2)

Find the vector equation in parametric form and Cartesian equations of the line passo through (-4, 2,-3) and is parallel to the line (-x-2)/(4)=(y+3)/(-2)=(2z-6)/(3)

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NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Objective

The vector equation of the straight line (1-x)/3 =(y+1)/(-2) =(3-z)/(-...
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The line (x-x1)/0=(y-y1)/1=(z-z1)/2 is
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A unit vector parallel to the straight line (x-2)/3=(3+y)/(-1) = (z-2)...
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The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d will be perpendicul...
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If the vector equation of a line (x-2)/2=(2y-5)/(-3) =z+1 is vecr=2hat...
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If the staight line (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k =(z-1)...
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The equation of the line joining the points (-3,4,11) and (1,-2,7) is
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The vector equation of the line 6x-3=3y+4=2z-2 is
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The angle between the staight lines (x+1)/2=(y-2)/5=(z+3)/4 and (x-1)/...
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If the lines (x-1)/(-3)=(y-2)/(2k) =(z-3)/2 and (x-1)/(3k) =(y-5)/1=(z...
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A line makes angles alpha,beta,gamma with the coordinates axes . If al...
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The angle between the lines x=1,y=2 and y=-1 ,z=0 is
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The distance between the lines vecr=veca1+tvecb and vecr=veca2+svecb i...
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The vector equation of a plane which is at a distance of 6/sqrt29 from...
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The equation of a plane with intercepts 2,3,and 4 on the x,y and z axe...
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The direction cosines of the normal to the plane 6x-2y-2z=1 are
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The distance of the point (2,1,-1) from the plane x-2y+4z=9 is
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If the plane 2x-y+z=0 is parallel to the line (2x-1)/2=(2-y)/2 =(z+1)/...
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The equation of the plane passing through (2,3,4) and parallel to the ...
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The vector equation of the plane through the point (2,1,-1) and parall...
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