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Q19  Choose the correct. If  \theta is the angle between any two vectors  \vec a \: \:and \: \: \vec b , then  |\vec a \cdot \vec b |=|\vec a \times \vec b | when \theta
is equal to

 \\A ) 0 \\\\ B ) \pi /4 \\\\ C ) \pi / 2 \\\\ D ) \pi

Answers (1)

best_answer

Given in the question

\theta is the angle between any two vectors  \vec a \: \:and \: \: \vec b and |\vec a \cdot \vec b |=|\vec a \times \vec b |

To find the value of \theta

|\vec a \cdot \vec b |=|\vec a \times \vec b |

|\vec a|| \vec b |cos\theta=|\vec a|| \vec b |sin\theta

cos\theta=sin\theta

tan\theta =1

\theta =\frac{\pi}{4}

Hence option D is correct.

Posted by

Pankaj Sanodiya

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