Recent questions and answers in 3-D Geometry

If $O$ is origin, $|\overrightarrow{OP}|=3$ with $d.r.=(-1,2,-2)$ then the coordinate of $P$ is ?

answered Nov 7, 2017 by priyanka.c

2 answers

If $A,B,C$ are three points on $x\:axis,\:y\:axis\:and\:z\:axis$ respectively which are at the distances $a,b,c$ from origin respectively and $P$ is a point which is equidistant from $A,B,C,O$ then the coordinates of $P$ is?

answered Jan 23, 2014 by rvidyagovindarajan_1

1 answer

If $A(4,7,8),\:B(2,3,4),\:C(2,5,7)$ are vertices of a triangle then the length of internal bisector of angle $A$ is ?

answered Jan 12, 2014 by rvidyagovindarajan_1

1 answer

Find the angle between any two diagonals of a cube.

answered Jan 12, 2014 by rvidyagovindarajan_1

1 answer

The cosine of angle between the medians drawn from vertices of isosceles rt. angled triangle is?

answered Jan 12, 2014 by rvidyagovindarajan_1

1 answer

If from a point $P(a,b,c)$ perpendiculars $PA,\:PB,\:$ are drawn on $yz\:\:and\:\:zx$ planes. then the equation of the plane $OAB$ is ?

answered Jan 11, 2014 by rvidyagovindarajan_1

1 answer

If the vertices of a triangle are $A(1,4,2),\:B(-2,1,2)\:C(2,-3,4)$ then the angle $B$ = ?

answered Jan 11, 2014 by rvidyagovindarajan_1

1 answer

The projection of a line segment on $x,y,z$ axes are $12,\:4,\:3$ respectively, then the length of the line segment is ?

answered Jan 11, 2014 by rvidyagovindarajan_1

1 answer

The locus of a point $(x,y,z)$ for which $z=k$ is a ?

answered Jan 11, 2014 by rvidyagovindarajan_1

1 answer

The points $(5,0,2),\:(2,-6,0),\:(4,-9,6)\:and\:(7,-3,8)$ represent vertices of a ?

answered Jan 11, 2014 by rvidyagovindarajan_1

1 answer

A line segment of length $21$ has $d.r.=(2,-3,6)$ and makes obtuse angle with $x\:axis$, then the components of the line segment (vector) are?

answered Jan 10, 2014 by rvidyagovindarajan_1

1 answer

If $P(2,3,4)\;and\:Q(1,b,1)$ are two points and $O$ is origin such that $OP$ is $\perp$ to $OQ$, then $b=?$

answered Jan 10, 2014 by rvidyagovindarajan_1

1 answer

The point which divides the line joining the points $(2,4,5)\:\:and\:\:(3,5,-4)$ in the ratio $2:3$ externaly lies on the plane?

answered Jan 10, 2014 by rvidyagovindarajan_1

1 answer

If the plane $x-2y+3z=0$ is rotated through a right angle about its line of intersection with the plane $2x+3y-4z-5=0$, then the eqn. of the plane in its new position is ?

answered Jan 10, 2014 by rvidyagovindarajan_1

1 answer

The angle between the lines $x=1,\:y=2$ and $y=-1,\:z=0$ is ?

answered Jan 9, 2014 by rvidyagovindarajan_1

1 answer

The angle between the line formed by $3x-7y-5z=1$ and $8x-11y+2z=0$ and the line formed by $5x-13y+3z+2=0$ and $8x-11y+2z=0$

answered Jan 9, 2014 by rvidyagovindarajan_1

1 answer

The equation of projection of the line $\large\frac{x-1}{2}=\frac{y-2}{1}=\frac{z-3}{3}$ on the plane $x+y+z=1$ is given by ?

answered Jan 9, 2014 by rvidyagovindarajan_1

1 answer

Equation of the line through the point $(2,-1,-1)$, which is parallel to the plane $4x+y+z+2=0$ ans is $\perp$ to the line $x=\large\frac{y}{-2}=$$z-5$ is ?

answered Jan 8, 2014 by rvidyagovindarajan_1

1 answer

The direction cosine of a line which is $\perp$ to two perpendicular lines whose direction cosines are $(l_1,m_1,n_1)\:\:and\:\:(l_2,m_2,n_2)$ is ?

answered Jan 8, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane that meets the coordinate axes at the points $A,B,C$ respectively and the centroid of the $\Delta\:ABC$ is $(2,1,5)$ is ?

answered Jan 7, 2014 by rvidyagovindarajan_1

1 answer