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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Vector Algebra

NDA 2014 · Mathematics · Vector Algebra

a + b + c = 0 such that | a | 3,| b |=5 and | c |=7 . What is a · b...

a⃗+b⃗+c⃗=0→\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0} such that ∣a⃗∣3,∣b⃗∣=5|\vec{a}| 3,|\vec{b}|=5 and ∣c⃗∣=7|\vec{c}|=7. What is a⃗⋅b⃗+b⃗⋅c⃗+c⃗⋅a⃗\vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a} equal to?

Options

  1. A-83
  2. B−832-\frac{83}{2}
  3. C-75
  4. D−752-\frac{75}{2}

Correct answer

B. −832-\frac{83}{2}

Step-by-step solution

The correct answer is option (B)
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