Introduction to 3-D Geometry

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Question

If R divides the line segment joining  P(2,3,4) and Q (4,5,6) in the ratio -3:2 ,then the value of the parameter which represents R is

Moderate
Solution

point R(-12+4/-3+2,-15+6/-3+2,-18+8/-3+2)

Rx=x1+t(x2x1)


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Suppose that the point  R lies on the line segment joining the points P(2, -3, 4) and 0(8, 0, 10) with x-co ordinate 6. Then distance of, R from origin is

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