The direction ratios of the line segment joining \(P(x_1,y_1,z_1)\) and \(Q(x_2,y_2,z_2)\) is given by _______, ____________ and __________(a) \(x_2+x_1,y_2+y_1,z_2+z_1\)(b) \(x_2-x_1,y_2+y_1,z_2-z_1\)(c) \(x_2-x_1,y_2-y_1,z_2-z_1\)(d) \(x_2+x_1,y_2-y_1,z_2+z_1\)The question was asked in semester exam.This interesting question is from Direction Cosines and Direction Ratios of a Line topic in section Three Dimensional Geometry of Mathematics – Class 12

The direction ratios of the line segment joining \(P(x_1,y_1,z_1)\) an

1.	The direction ratios of the line segment joining \(P(x_1,y_1,z_1)\) and \(Q(x_2,y_2,z_2)\) is given by _______, ____________ and __________(a) \(x_2+x_1,y_2+y_1,z_2+z_1\)(b) \(x_2-x_1,y_2+y_1,z_2-z_1\)(c) \(x_2-x_1,y_2-y_1,z_2-z_1\)(d) \(x_2+x_1,y_2-y_1,z_2+z_1\)The question was asked in semester exam.This interesting question is from Direction Cosines and Direction Ratios of a Line topic in section Three Dimensional Geometry of Mathematics – Class 12
Answer» Correct choice is (c) \(x_2-x_1,y_2-y_1,z_2-z_1\) Easiest explanation: Let a.,B,c be the direction RATIOS of the line segment PQ. Then, the direction ratios of the line segment joining \(P(x_1,y_1,z_1)\) and \(Q(x_2,y_2,z_2)\) is given by \(a=x_2-x_1\) \(b=y_2-y_1\) \(c=z_2-z_1\)

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