AP EAMCET · Maths · Vector Algebra
\((\overrightarrow{\mathbf{a}}+2 \overrightarrow{\mathbf{b}}-\overrightarrow{\mathbf{c}}) \cdot(\overrightarrow{\mathbf{a}}-\overrightarrow{\mathbf{b}}) \times(\overrightarrow{\mathbf{a}}-\overrightarrow{\mathbf{b}}-\overrightarrow{\mathbf{c}})\) is equal to
- A \(-[\overrightarrow{\mathbf{a}} \overrightarrow{\mathbf{b}} \overrightarrow{\mathbf{c}}]\)
- B \(2[\overrightarrow{\mathbf{a}} \overrightarrow{\mathbf{b}} \overrightarrow{\mathbf{c}}]\)
- C \(3[\overrightarrow{\mathbf{a}} \overrightarrow{\mathbf{b}} \overrightarrow{\mathbf{c}}]\)
- D \(\overrightarrow{0}\)
Answer & Solution
Correct Answer
(C) \(3[\overrightarrow{\mathbf{a}} \overrightarrow{\mathbf{b}} \overrightarrow{\mathbf{c}}]\)
Step-by-step Solution
Detailed explanation
\((\vec{a}+2 \vec{b}-\vec{c}) \cdot(\vec{a}-\vec{b}) \times(\vec{a}-\vec{b}-\vec{c})\)…
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