Recent questions and answers in Introduction to Three Dimensional Geometry

Find the lengths of medians of the triangle $ABC$ where $A(0,0,6),\:B(0,4,0)\:and\:C(6,0,0)$

answered May 11, 2014 by rvidyagovindarajan_1

1 answer

Three vertices of a parallelogram $ABCD$ are $A(3,-1,2),\:B(1,2,-4)\:and\:C(-1,1,2)$ Find the coordinates of the $4^{th}$ vertex $D$.

answered May 11, 2014 by rvidyagovindarajan_1

1 answer

Find the coordinates of the points which trisect the segment joining the points $P(4,2,-6)$ and $ Q(10,-16,6)$

answered May 8, 2014 by rvidyagovindarajan_1

1 answer

Using the section formula show that the points $A(2,-3,4),\:B(-1,2,1),\: C(0,\large\frac{1}{3}$$,2)$ are collinear.

answered May 8, 2014 by rvidyagovindarajan_1

1 answer

Find the ratio in which $YZ$ plane divides the segment formed by joining the points $(-2,4,7)$ and $(3,-5,8)$

answered May 6, 2014 by rvidyagovindarajan_1

1 answer

Given that $P(3,2,-4),\:Q(5,4,-6)\:\:and\:\:R(9,8,-10)$ are collinear. Find the ratio in which $Q$ divides $PR$

answered May 6, 2014 by rvidyagovindarajan_1

1 answer

Find the coordinates of the point which divides the line segment joining the points $(-2,3,5)$ and $(1,-4,6)$ in the ratio $2:3$ externally.

answered May 5, 2014 by rvidyagovindarajan_1

1 answer

Find the coordinates of the point which divides the line segment joining the points $(-2,3,5)$ and $(1,-4,6)$ in the ratio $2:3$ internally.

answered May 5, 2014 by rvidyagovindarajan_1

1 answer

Find the equation of the set of points $P$ the sum of whose distance from $(4,0,0)$ and $(-4,0,0)$ is equal to $10$

answered May 3, 2014 by rvidyagovindarajan_1

1 answer

Find the equation of the set of points which are equidiatant from the the points $(1,2,3)$ and $(3,2,-1)$

answered May 3, 2014 by rvidyagovindarajan_1

1 answer

Verify that $(-1,2,1),\:(1,-2,5),\:(4,-7,8)\:and\:(2,-3,4)$ are vertices of a parallelogram.

answered Apr 17, 2014 by rvidyagovindarajan_1

1 answer

Verify that $(0,7,10),\:(-1,6,6)\:and\:(-4,9,6)$ are vertices of a right angled triangle.

answered Apr 17, 2014 by rvidyagovindarajan_1

1 answer

Verify that $(0,7,-10),\:(1,6,-6)\:and\:(4,9,-6)$ are vertices of an isosceles triangle.

answered Apr 17, 2014 by rvidyagovindarajan_1

1 answer

Show that the points $(-2,3,5),\:(1,2,3)\:and\:(7,0,-1)$ are collinear.

answered Apr 17, 2014 by rvidyagovindarajan_1

1 answer

Find the distance between the points $(-1,3,-4)$ and $(1,-3,-4)$

answered Apr 16, 2014 by rvidyagovindarajan_1

1 answer

Find the distance between the the points $(2,-1,3)$ and $(-2,1,3)$.

answered Apr 16, 2014 by rvidyagovindarajan_1

1 answer

Find the distance between the points $(-3,7,2)$ and $(2,4,-1)$

answered Apr 16, 2014 by rvidyagovindarajan_1

1 answer

Find the distance between the points $(2,3,5)$ and $(4,3,1)$

answered Apr 16, 2014 by rvidyagovindarajan_1

1 answer

Coordinate planes divide the space into how many octants?

answered Apr 16, 2014 by rvidyagovindarajan_1

1 answer

The coordinates of a point in the $xy$ plane are of the form ?

answered Apr 16, 2014 by rvidyagovindarajan_1

1 answer

The $x-$ axis and $y-$ axis taken together determine a plane known as ?

answered Apr 16, 2014 by rvidyagovindarajan_1

1 answer