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NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Vector Algebra

NDA 2011 · Mathematics · Vector Algebra

If a and b are two vectors such that a b =0 and a × b = 0 , then...

If a⃗\vec{a} and b⃗\vec{b} are two vectors such that a⃗∙b⃗=0\vec{a} \bullet \vec{b}=0 and a⃗×b⃗=0→\vec{a} \times \vec{b}=\overrightarrow{0}, then which one of the following is correct?

Options

  1. Aa⃗\vec{a} is parallel to b⃗\vec{b}
  2. Ba⃗\vec{a} is perpendicular to b⃗\vec{b}
  3. CEither a⃗\vec{a} or b⃗\vec{b} is a null vector
  4. DNone of the above

Correct answer

C. Either a⃗\vec{a} or b⃗\vec{b} is a null vector

Step-by-step solution

The correct answer is option C
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