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
- A \(m_3 < m_1 < m_4 < m_2\)
- B \(m_3 < m_1 < m_2 < m_4\)
- C \(m_3 < m_4 < m_1 < m_2\)
- D \(m_3 < m_4 < m_2 < m_1\)
Answer & Solution
Correct Answer
(A) \(m_3 < m_1 < m_4 < m_2\)
Step-by-step Solution
Detailed explanation
Given,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(n\) is a positive integer and \(f(n)\) is the coefficient of \(x^n\) in the expansion of \((1+x)(1-x)^n\), then \(f(2023)=\)TS EAMCET 2023 Medium
- TS EAMCET 2021 Easy
- \(\mathrm{A}(1,-2), \mathrm{B}(-2,3), \mathrm{C}(-1,-3)\) are the vertices of a triangle \(A B C\). \(L_1\) is the perpendicular drawn from \(A\) to \(B C\) and \(L_2\) is the perpendicular bisector of AB . If \((l, m)\) is the point of intersection of \(\mathrm{L}_1\) and \(\mathrm{L}_2\), then \(26 m-3=\)TS EAMCET 2024 Medium
- For the following distribution, the mean deviation about the median is
TS EAMCET 2020 Easy - If \(0 \leq x < \frac{3}{4}\) then the number of values of \(x\) satisfying the equation \(\operatorname{Tan}^{-1}(2 x-1)+\operatorname{Tan}^{-1} 2 x=\operatorname{Tan}^{-1} 4 x-\operatorname{Tan}^{-1}(2 x+1)\) isTS EAMCET 2025 Medium
- When \(|x| < \frac{1}{2}\) the coefficient of \(x^6\) in the expansion of \(\left(\frac{2-x}{1+2 x}\right)^2\) isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- Which alkali metal emits blue colour light in flame test?TS EAMCET 2020 Easy
- What is the bonding nature in LiCl bond?TS EAMCET 2019 Easy
- If \(\hat{\mathbf{a}}, \mathbf{b}\) and \(\hat{\boldsymbol{c}}\) are non-coplanar vectors and if \(\mathbf{d}\) is such that \(\hat{\mathbf{d}}=\frac{1}{x}(\hat{\mathbf{a}}+\hat{\mathbf{b}}+\hat{\mathbf{c}})\) and \(\hat{\mathbf{d}}=\frac{1}{y}(\hat{\mathbf{b}}+\hat{\mathbf{c}}+\hat{\mathbf{d}})\) where \(x\) and \(y\) are non-zero real numbers, then \(\frac{1}{x y}(\hat{\mathbf{a}}+\hat{\mathbf{b}}+\hat{\mathbf{c}}+\hat{\mathbf{d}})\) equals toTS EAMCET 2014 Hard
- Assertion (A) : A current of \(96.5 \mathrm{~A}\) is passed into aqueous \(\mathrm{AgNO}_3\) solution for \(100 \mathrm{~s}\). The weight of silver deposited is \(10.8 \mathrm{~g}\) (At. wt. of \(\mathrm{Ag}=108)\)Reason (R) : The mass of a substance deposited during the electrolysis of an electrolyte is inversely proportional to the quantity of electricity passing through the electrolyte. The correct answer is :TS EAMCET 2006 Easy
- \(\bar{a}, \bar{b}, \bar{c}\) are three unit vectors such that \(x \bar{a}+y \bar{b}+z \bar{c}=p(\bar{b} \times \bar{c})+q(\bar{c} \times \bar{a})+r(\bar{a} \times \bar{b})\). If \((\bar{a}, \bar{b})=(\bar{b}, \bar{c})=(\bar{c}, \bar{a})=\frac{\pi}{3},(\bar{a}, \bar{b} \times \bar{c})=\frac{\pi}{6}\) and \(\bar{a}, \bar{b}, \bar{c}\) form a right-handed system, then \(\frac{x+y+z}{p+q+r}=\)TS EAMCET 2025 Hard
- \(p, q\) are two prime numbers. For \(n=p q\), if the expansion \(\left(\sqrt[4]{x^{-5}}+2 \sqrt[5]{x^5}\right)^n\) contains non-zero coefficient of \(x^{-n}\) and \(x^0\), then the least value of such \(n\) isTS EAMCET 2020 Easy