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  • Provide Solution For R.D. Sharma Maths Class 12 Chapter 22 Algebra of Vectors Exercise Very Short Answer Type Question 16 Maths Textbook Solution.

Provide Solution For  R.D. Sharma Maths Class 12 Chapter 22 Algebra of Vectors  Exercise Very Short Answer Type  Question 16 Maths Textbook Solution.

Answers (1)

Answer: \vec{0}

Hint: You must know the rules of vector functions

Given: If \vec{a},\vec{b},\vec{c} are the position vectors of the vertices of equilateral triangle. Write value of \vec{a}+\vec{b}+\vec{c}

Solution: Let ABC be a given equilateral triangle and vertices are A\vec{\left ( a \right )},B\vec{\left ( b \right )},C\vec{\left ( c \right )}. Also O\vec{\left ( o \right )}, be your orthocentre.

            We know the centroid and orthocenter of equilateral triangles coincide at a point.

            Orthocentre of \Delta ABC=0

            Centroid of \Delta ABC=\vec{0}

            \Rightarrow \frac{\vec{a}+\vec{b}+\vec{c}}{3}=\vec{0}

            \vec{a}+\vec{b}+\vec{c}=\vec{0}

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