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  • Need solution for RD Sharma Maths Class 12 Chapter 24 Vector Or Cross Product Exercise Very Short Answer Question, question 29.

Need solution for RD Sharma Maths Class 12 Chapter 24 Vector Or Cross Product Exercise Very Short Answer Question, question 29.

Answers (1)

ANSWER:

\pm(\hat{i}-11 \hat{j}-7 \hat{k})

HINT:

Perform cross product to find the solution

GIVEN:

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

SOLUTION:

\begin{aligned} \vec{a} \times \vec{b} &=\left|\begin{array}{ccc} \hat{i} & \hat{j} & \hat{k} \\ 1 & 2 & -3 \\ 3 & -1 & 2 \end{array}\right| \\ &=\hat{i}(4-3)-\hat{j}(2+9)+\hat{k}(-1-6) \\ &=1 \hat{i}-11 \hat{j}-7 \hat{k} \end{aligned}

Now we know that vector is perpendicular to both vectors \overrightarrow{a} and \overrightarrow{b}

= \pm(\hat{i}-11 \hat{j}-7 \hat{k})

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