# If a¯,b¯ and c¯ are position vectors of the points A, B, C respectively and 5a¯-3b¯-2c¯=0¯, then find the ratio in which the point C divides the line segement BA - Mathematics and Statistics

Sum

If bar("a"), bar("b") and bar("c") are position vectors of the points A, B, C respectively and 5bar("a") - 3bar("b") - 2bar("c") = bar(0), then find the ratio in which the point C divides the line segement BA

#### Solution

5bar("a") - 3bar("b") - 2bar("c") = 0

∴ 2bar("c") = 5bar("a") - 3bar("b")

∴ bar("c") = (5bar("a") - 3bar("b"))/2

∴ bar("c") = (5bar("a") - 3bar("b"))/(5 - 3)

∴ The point C divides the line segment BA externally in ratio 5:3.

Concept: Section Formula
Is there an error in this question or solution?