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  • Please solve RD Sharma class 12 chapter Vector or Cross Product exercise 24.1 question 17 maths textbook solution

Please solve RD Sharma class 12 chapter Vector or Cross Product exercise 24.1 question 17 maths textbook solution

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Answer         :  \vec{a} \cdot \vec{b}=0 ; \vec{a} \times \vec{b}=0

Hint               : To solution we know \vec{a}, \vec{b} are parallel

Given            :\vec{a} \times \vec{b}=0

Solution       : 1) \vec{a} and \vec{b} are parallel

                        Or
     \begin{aligned} &|\vec{a}|=0 \text { or }|\vec{b}|=0 \\\\ &\vec{a} \cdot \vec{b}=0 \end{aligned}

  1. \vec{a} &  \vec{b} are perpendicular
  2. |\vec{a}|=0 \text { or }|\vec{b}|=0

Either |\vec{a}|=0 \text { or }|\vec{b}|=0  or both are zero if  \vec{a} \cdot \vec{b}=0\; \& \; \vec{a} \times \vec{b}=0

 

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