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TS EAMCET · Maths · Vector Algebra

If \(m_1, m_2, m_3\) and \(m_4\) are respectively the magnitudes of the vectors \(\overrightarrow{\mathbf{a}}_1=2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}, \quad \overrightarrow{\mathbf{a}}_2=3 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}\), \(\overrightarrow{\mathbf{a}}_3=\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}} \quad\) and \(\quad \overrightarrow{\mathbf{a}}_4=-\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\hat{\mathbf{k}}\), then the correct order of \(m_1, m_2, m_3\) and \(m_4\) is

  1. A \(m_3 < m_1 < m_4 < m_2\)
  2. B \(m_3 < m_1 < m_2 < m_4\)
  3. C \(m_3 < m_4 < m_1 < m_2\)
  4. D \(m_3 < m_4 < m_2 < m_1\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(m_3 < m_1 < m_4 < m_2\)

Step-by-step Solution

Detailed explanation

Given,…
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