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The points A, B, C have position vectors bar"a", bar"b" and bar"c" respectively. The point P is the midpoint of AB. Find the vector bar"PC" in terms of bar"a", bar"b", bar"c". - Mathematics and Statistics

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प्रश्न

The points A, B, C have position vectors a¯,b¯andc¯ respectively. The point P is the midpoint of AB. Find the vector PC¯ in terms of a¯,b¯,c¯.

योग

उत्तर

P is the mid-point of AB.

p¯=a¯+b¯2, where p¯ is the position vector of P.

Now, PC¯=c¯-p¯=c¯-12(a¯+b¯)

=-12(a¯+b¯)+c¯

=-12a¯-12b¯+c¯

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अध्याय 5: Vectors - Miscellaneous exercise 5 [पृष्ठ १९०]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 5 Vectors
Miscellaneous exercise 5 | Q II. 2) | पृष्ठ १९०

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