The coordinates of the centroid of a triangle whose vertices are (2, –1, 6), (3, 3, –2) and (–2, 1, –1) are:
The ratio, in which YZplane divides the line joining (2, 4, 5) and (3, 5, 7) is
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The ratio in which the join of points (1, –2, 3) and (4, 2, –1) is divided by XOY plane is:
Three vertices of a parallelogram PQRS are P(3, – 1, 2), Q (1, 2, – 4) and R ( 1, 1, 2). Find the coordinates of the fourth vertex.
A point R with xcoordinate 1 lies on the line segment joining the points P(2, 3,5) and Q (7, 0, 1). The coordinates of the point R are
If the origin is the centroid of the triangle ABC with vertices A (2a, 14, 6), B (8, 3b, 10) and C(4, 2, 2c), then the values of a and c are.
If the origin is the centroid of the triangle PQR with vertices P(2a, 2, 6), Q(4, 3b, 10) and (8, 14, 2c), then the values of a, b and c are:
The ratio in which the join of points (1, –2, 3) and (4, 2, –1) is divided by XOY plane is:
The coordinates of the point R which divides the line segment joining two points P (x_{1}, y_{1}, z_{1}) and Q (x_{2}, y_{2}, z_{2}) externally in the ratio m : n are given by
The ratio in which the line joining the points (1, 2, 3) and (3.4, 5) is divided by the xyplane is:
209 videos443 docs143 tests

Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point Video  10:48 min 
Equation of Straight Line Doc  14 pages 
Mindmap: Three Dimensional Geometry Doc  2 pages 
Test: Distance Of A Point From A Plane Test  10 ques 
Test: Intercept Form And Family Of Planes Test  5 ques 
209 videos443 docs143 tests

Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point Video  10:48 min 
Equation of Straight Line Doc  14 pages 
Mindmap: Three Dimensional Geometry Doc  2 pages 
Test: Distance Of A Point From A Plane Test  10 ques 
Test: Intercept Form And Family Of Planes Test  5 ques 