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NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Vector Algebra

NDA 2011 · Mathematics · Vector Algebra

The vector a lies in the plane of vectors b and c . Which one of...

The vector a⃗\vec{a} lies in the plane of vectors b⃗\vec{b} and c⃗\vec{c}. Which one of the following is correct?

Options

  1. Aa⃗⋅(b⃗×c⃗)=0\vec{a} \cdot(\vec{b} \times \vec{c})=0
  2. Ba⃗⋅(b⃗×c⃗)=1\vec{a} \cdot(\vec{b} \times \vec{c})=1
  3. Ca⃗⋅(b⃗×c⃗)=−1\vec{a} \cdot(\vec{b} \times \vec{c})=-1
  4. Da⃗⋅(b⃗×c⃗)=3\vec{a} \cdot(\vec{b} \times \vec{c})=3

Correct answer

A. a⃗⋅(b⃗×c⃗)=0\vec{a} \cdot(\vec{b} \times \vec{c})=0

Step-by-step solution

The correct answer is option (A).
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