Which of the following expresses the distance between two points and in space?

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

Which of the following expresses the distance PQPQ between two points P(x1,y1,z1)P(x_1,y_1,z_1) and Q(x2,y2,z2)Q(x_2,y_2,z_2) in space? (a) PQ=(x2−x1)2+(y2−y1)2+(z2−z1)2PQ=(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2 (b) PQ=(x2−x1)2+(y2−y1)2PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} (c) PQ=(x2−x1)2+(y2−y1)2+(z2−z1)2PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2} (d) PQ=∣x2−x1∣+∣y2−y1∣+∣z2−z1∣PQ=|x_2-x_1|+|y_2-y_1|+|z_2-z_1|

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