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  • Need solution for RD Sharma Maths Class 12 Chapter 24 Vector Or Cross Product Exercise Very Short Answer Question, question 27.

Need solution for RD Sharma Maths Class 12 Chapter 24 Vector Or Cross Product Exercise Very Short Answer Question, question 27.

Answers (1)

ANSWER:

  6 sq. unit

HINT: Cross product both vectors to obtain Area of parallelogram.

GIVEN:

Two vectors,2\widehat{i} and 3\widehat{j}

SOLUTION:

 Let,

\begin{aligned} &\vec{a}=2 \hat{i}+0 \hat{j}+0 \hat{k} \\ &\vec{b}=0 \hat{i}+3 \hat{j}+0 \hat{k} \end{aligned}

Area of parallelogram 

\begin{aligned} \therefore \hat{a} \times \hat{b} &=\left|\begin{array}{ccc} \hat{i} & \hat{j} & \hat{k} \\ 2 & 0 & 0 \\ 0 & 3 & 0 \end{array}\right| \\ &=\hat{i}(0-0)-\hat{j}(0-0)+\hat{k}(6-0) \\ &=6 \hat{k} \\ &=6 \text { Sq Units } \end{aligned}

Area = \left | \widehat{a}\times \widehat{b} \right |=\sqrt{6^2}=6 \; \text{sq.units}

 

 

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