Describing Space

IMPORTANT

Describing Space: Overview

This Topic covers sub-topics such as Section Formula, Planes in 3D, 3D Cartesian Coordinate System, Points of Trisection of a Line Segment, Internal Division, Pythagorean Quadruple, Concept of Space Diagonal and, Coordinate Axes in 3D

Important Questions on Describing Space

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The length of the space diagonal of a cuboid with the length as 12 cm, breadth as 7 cm and height as 5 cm, is

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Find the length of the space diagonal of a cuboid with the length as 5 cm, breadth as 4 cm and height as 3 cm.

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A cuboid with the length as 5 cm, breadth as 4 cm and height as 3 cm. The length of the face diagonal of the cuboid in the plane of breadth and height is 50 cm.

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The number of face diagonals of a cuboid is 

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Which of the following is not an example for Pythagorean quadruple ?

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Find the angle between the diagonal of a cube and the diagonal of one of its faces. Where length of each side of a cube is 4 unit.

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Find the angle between the diagonal of a cube and the diagonal of one of its faces.

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Which of the following is an example for Pythagorean quadruple ?

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 Find the length of each diagonal of a rectangle of length 5 units and width 3 units?

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Find the number of diagonals present in a cuboid?

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Let A2, 1, -3 and B5, -8, 3 be two given points. Find the coordinates of the points of trisection of the line segment AB

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In the figure below if the point P is a,b,c, write the coordinates of the points M,N,L,A,B and C.

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Write down the coordinates of point A for the following cuboid:

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The theorem that we use in finding the length of space diagonal in rectangular prism is _____?

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What is space in geometry?

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Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are P(i^+2j^-k^)  and Q(-i^+j^+k^) respectively, in the ratio  2 : 1  internally

 

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Given a line segment AB joining the points A(-4, 6) and B(8, -3). Find the co-ordinates of the point of intersection.

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Given a line segment AB joining the points A(-4,6) and B(8,-3). Find the ratio in which AB is divided by the y -axis.

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Given A=(-4, 3) and B=(8,-6). In what ratio is the line joining AB divides by the x-axis.

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The line segment joining A(2, 3) and B(6, -5) is intercepted by its x-axis at the point L. Write the ordinates of the point L. Hence, find the ratio in which L divides AB.