$\overrightarrow{a} \times [\overrightarrow{a} \times (\overrightarrow{a} \times \overrightarrow{b})]$ का मान ज्ञात कीजिए।
- A$(\overrightarrow{a} \times \overrightarrow{a}) \cdot (\overrightarrow{b} \times \overrightarrow{a})$
- B$\overrightarrow{a} \cdot (\overrightarrow{b} \times \overrightarrow{a}) - \overrightarrow{b}(\overrightarrow{a} \times \overrightarrow{b})$
- C$[\overrightarrow{a} \cdot (\overrightarrow{a} \times \overrightarrow{b})] \overrightarrow{a}$
- D$(\overrightarrow{a} \cdot \overrightarrow{a})(\overrightarrow{b} \times \overrightarrow{a})$
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Similar Questions
निम्नलिखित में से कौन सा कथन सत्य है?
Easy
View Solutionयदि $\vec{a} = 2\hat{i} + \hat{j} + \hat{k}$,$\vec{b} = \hat{i} + 2\hat{j} + 2\hat{k}$,$\vec{c} = \hat{i} + \hat{j} + 2\hat{k}$ और $(1 + \alpha)\hat{i} + \beta(1 + \alpha)\hat{j} + \gamma(1 + \alpha)(1 + \beta)\hat{k} = \vec{a} \times (\vec{b} \times \vec{c})$ है,तो $\alpha, \beta, \gamma$ का मान ज्ञात कीजिए।
यदि $a = i + j - k$,$b = i - j + k$,और $c = i - j - k$ है,तो $a \times (b \times c)$ क्या होगा?
Easy
View Solutionयदि $\overline{a}=\frac{1}{\sqrt{10}}(3 \hat{i}+\hat{k})$ और $\overline{b}=\frac{1}{7}(2 \hat{i}+3 \hat{j}-6 \hat{k})$ है,तो $(\overline{a}-2 \overline{b}) \cdot \{(\overline{a} \times \overline{b}) \times (2 \overline{a}+\overline{b})\}$ का मान ज्ञात कीजिए।
किसी भी सदिश $r$ के लिए,व्यंजक $i \times(r \times i) + j \times(r \times j) + k \times(r \times k)$ किसके बराबर है?
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