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  • Explain Solution R.D. Sharma Class 12 Chapter 22 Algebra of Vectors Exercise Very Short Answer Type Question 32 Maths Textbook Solution.

Explain Solution R.D. Sharma Class 12 Chapter 22 Algebra of Vectors  Exercise Very Short Answer Type Question 32 Maths Textbook Solution.

Answers (1)

Answer: \left ( 2,3,1 \right )

Hint: You must know the rules of vector functions

Given: Find the position vector of mid-point of line AB where A\left ( 3,4,-2 \right ),B\left ( 1,2,4 \right )

Solution: A\left ( 3,4,-2 \right ),B\left ( 1,2,4 \right )

Let C is the mid-point

∴ Position vector of C=\frac{\left ( 3\hat{i}+4\hat{j}-2\hat{k} \right )+\left ( \hat{i}+2\hat{j}+4\hat{k} \right )}{2}

=\frac{\left ( 4\hat{i}+6\hat{j}+2\hat{k} \right )}{2}

\left ( 2\hat{i}+3\hat{j}+\hat{k} \right )

Hence position vector=\left ( 2,3,1 \right )

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