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  • Need solution for RD sharma maths class 12 chapter 23 Scalar or dot product exercise Fill in the blanks question 13

Need solution for RD sharma maths class 12 chapter 23 Scalar or dot product exercise Fill in the blanks question 13

Answers (1)

\pi

Hint:

               Angle between \vec{a} and \vec{b}

Given:

               If \vec{a} , \vec{b} are two non-zero vector \vec{a}.\vec{b}=-\left |\vec{a} \right | . \left |\vec{b} \right |, then angle between \vec{a} and \vec{b} is

Solution:

               \vec{a}.\vec{b}=-\left |\vec{a} \right | . \left |\vec{b} \right |                                                                                                   … (i)

                And we know that \vec{a}.\vec{b}=-\left |\vec{a} \right | . \left |\vec{b} \right |.\cos\theta                                                                     

From (i) we get

-\vec{a}.\vec{b}=-\left |\vec{a} \right | . \left |\vec{b} \right |.\cos\theta\\ \cos \theta =-1\\ \theta =\pi

          

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