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  • Please solve RD Sharma class 12 chapter Vector or Cross Product exercise 24.1 question 1 maths textbook solution

Please solve RD Sharma class 12 chapter Vector or Cross Product exercise 24.1 question 1 maths textbook solution

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Answer        :  \sqrt{91}

Hint              : To solve this equation by using determinate formula

Given           : \vec{a}=\hat{\imath}+3 \hat{\jmath}-2 \hat{k} \text { and } \vec{b}=\widehat{-i}+3 \hat{k}

find  \left | \vec{a}\times \vec{b} \right |

Solution      :

                        \begin{gathered} \vec{a} \times \vec{b}=\left|\begin{array}{ccc} \hat{c} & \hat{\jmath} & \hat{k} \\ 1 & 3 & -2 \\ -1 & 0 & 3 \end{array}\right| \\ =9 \hat{i}-\hat{j}+3 \hat{k} \end{gathered}

\begin{aligned} &|\vec{a} \times \vec{b}|=\sqrt{9^{2}+(-1)^{2}+(3)^{2}} \\\\ &=\sqrt{81+1+3} \\\\ &=\sqrt{91}\ \end{aligned}

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