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NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Vector Algebra

NDA 2015 · Mathematics · Vector Algebra

If a + b + c = 0 , then which of the following is/are correct? 1. a...

If a⃗+b⃗+c⃗=0→\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}, then which of the following is/are correct? 1. a⃗,b⃗,c⃗\vec{a}, \vec{b}, \vec{c} are coplanar. 2. a⃗×b⃗=b⃗×c⃗=c⃗×a⃗\vec{a} \times \vec{b}=\vec{b} \times \vec{c}=\vec{c} \times \vec{a} Select the correct answer using the code given below.

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

C. Both 1 and 2

Step-by-step solution

According to statements (1) and (2), when a⃗+b⃗+c⃗=0→\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}, then both statements are correct. If a⃗×b⃗=b⃗×c⃗=c⃗×a⃗=0\vec{a} \times \vec{b}=\vec{b} \times \vec{c}=\vec{c} \times \vec{a}=0, then a⃗,b⃗\vec{a}, \vec{b} and c⃗\vec{c} are collinear. Therefore, option (C) is correct.
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