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  • Need solution for RD sharma maths class 12 chapter 24 Vector or cross product exercise Fill in the blanks question 9

Need solution for RD sharma maths class 12 chapter 24 Vector or cross product exercise Fill in the blanks question 9

Answers (1)

best_answer

\therefore \theta =\frac{\pi}{4} or \frac{3\pi}{4}

Hint: Use formula

\left | \vec{a} \times \vec{b} \right |=\left | \vec{a}\right |\left | \vec{b} \right | \sin \theta

Given:

\left | \vec{a} \times \vec{b} \right |=\sqrt{2}

We know that

\left | \vec{a} \times \vec{b} \right |=\left | \vec{a}\right |\left | \vec{b} \right | \sin \theta\\ \sqrt{2}=(1)(2) \sin \theta \\ \sin \theta=\frac{\sqrt{2}}{2}\\ \sin \theta=\frac{\sqrt{2}}{\sqrt{2} \times \sqrt{2}}\\

\therefore \theta =\frac{\pi}{4} or \frac{3\pi}{4}

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