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  • Provide solution for RD Sharma maths class 12 chapter Vector or Cross Product exercise 24.1 question 22

Provide solution for RD Sharma maths class 12 chapter Vector or Cross Product exercise 24.1 question 22

Answers (1)

Answer:  \frac{3}{4} Square units

Hint: use concept.

Given:

A=\frac{1}{2}|\vec{a} \times \vec{b}|

Solution:

\begin{aligned} &A=\frac{1}{2}|\vec{p}+2 \vec{q}| \times|2 \vec{p}+\vec{q}| \\\\ &=\frac{1}{2}|0| \times \vec{p} \times \vec{q}+4|\vec{p}+\vec{q}|+0 \\\\ &\{\vec{p} \times \vec{p}=0\} \end{aligned}

\begin{aligned} &=\frac{1}{2}|\vec{q} \times \vec{p}+4 \vec{q} \times \vec{p}| \\\\ &=\frac{1}{2} \times 3|\vec{q} \times \vec{p}| \end{aligned}

\begin{aligned} &=\frac{3}{2}|\vec{p} \| \vec{q}| \sin \theta \\\\ &=\frac{3}{2} \cdot \frac{1}{2} \end{aligned}

=\frac{3}{4} Square units

 

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