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  • Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 5 maths textbook solution

Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 5 maths textbook solution

Answers (1)

Answer: -40

Hint: Find a

Given: If A(60 \hat{i}+3 \hat{j}), B(40 \hat{i}-8 \hat{j}) \text { and } C(a \hat{i}-52 \hat{j}) are collinear then equal to

Solution:

            \begin{aligned} A &=60 \hat{i}+3 \hat{j} \\ B &=40 \hat{i}-8 \hat{j} \\ C &=a \hat{i}-52 \hat{j} \end{aligned}

Now find AB and BC

            \begin{aligned} &A B=-20 \hat{i}-11 \hat{j} \\ &B C=(a-40) \hat{i}-44 \hat{j} \end{aligned}

Take cross product

            \begin{aligned} &A B \times B C=(-20 \hat{i}-11 \hat{j}) \times(a-40) \hat{i}-44 \hat{j} \\ &0 \hat{i}+0 \hat{j}+(880+11(a-40))=0 \\ &a-40=-80 \\ &a=-80+40 \\ &a=-40 \end{aligned}

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