Coordinates in 3D space, distance and section formula.
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Q1 · Introduction to Three-Dimensional Geometry (Class 11 — ~20% weight) · EASY
The distance between the points A(2, 3, 5) and B(4, 7, 9) in three-dimensional space is:
Q2 · Introduction to Three-Dimensional Geometry (Class 11 — ~20% weight) · MEDIUM
The coordinates of the point which divides the line segment joining the points P(1, 2, 3) and Q(4, 5, 9) internally in the ratio 2:1 are:
Q3 · Introduction to Three-Dimensional Geometry (Class 11 — ~20% weight) · HARD
If the points A(3, 2, 0), B(5, 3, 2) and C(-9, 6, -3) are collinear, then the ratio in which the point C divides the line segment AB is:
Q4 · Introduction to Three-Dimensional Geometry (Class 11 — ~20% weight) · MEDIUM
The distance between the points A(2, 3, −1) and B(−1, 2, 4) in three-dimensional space is: