AP EAMCET · Maths · Vector Algebra
If \(\mathbf{a}=\alpha \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-6 \hat{\mathbf{k}}\) and \(\mathbf{b}=2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\beta \hat{\mathbf{k}}\), then the values of \(\alpha, \beta\) so that \(\mathbf{a}\) and \(\mathbf{b}\) may be collinear are
- A \((5,3)\)
- B \((6,2)\)
- C \((2,-6)\)
- D \((-6,2)\)
Answer & Solution
Correct Answer
(D) \((-6,2)\)
Step-by-step Solution
Detailed explanation
\(\mathbf{a}=\alpha \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-6 \hat{\mathbf{k}}, \mathbf{b}=2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\beta \hat{\mathbf{k}}\) For (a) and (b) may be collinear \((\mathbf{a} \times \mathbf{b})=0\)…
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
- The equation of the circle whose diameter is the common chord of the circles \(x^2+y^2+2 x+3 y+1=0\) and \(x^2+y^2+4 x+3 y+2=0\) isAP EAMCET 2019 Medium
- If \(y=\tan ^{-1}\left(\frac{\sqrt{1+a^2 x^2}-1}{a x}\right)\), then \(\left(1+a^2 x^2\right){y^{\prime}}^{\prime}+2 a^2 x y^{\prime}\) is equal toAP EAMCET 2014 Hard
- The domain of the real valued function
\(f(x)=\sqrt{\frac{2-|x|}{3-|x|}}\) isAP EAMCET 2022 Medium - If \(\mathrm{M}_1\) and \(\mathrm{M}_2\) are the maximum values of \(\frac{1}{11 \cos 2 x+60 \sin 2 x+69}\) and \(3 \cos ^2 5 x+4 \sin ^2 5 x\) respectively, then \(\frac{M_1}{M_2}=\)AP EAMCET 2024 Medium
- The sum of the coefficients of the last 19 terms in the binomial expansion of \((1+x)^{37}\) isAP EAMCET 2017 Easy
- The transformed equation of \(2 x^2+3 y^2-z^2-8 x+18 y\) \(+2 z+9=0\) when the axes are translated to the point \((2,-3,1)\) isAP EAMCET 2023 Easy
More PYQs from AP EAMCET
- Two inductors and when connected in parallel are equivalent to a single inductor of inductance , and when connected in series are equivalent to a single inductor of inductance . Find the difference in the inductances of and .AP EAMCET 2021 Medium
- If \(\mathrm{z}_1, \mathrm{z}_2, \mathrm{z}_3\) are the vertices of an equilateral triangle and \(\mathrm{z}\) is its circum centre, thenAP EAMCET 2023 Easy
- In which of the following metals extraction, impurities are removed as slag?
i. Al \(\quad\) ii. Fe
iii. Cu \(\quad\) iv. Zn
The correct option isAP EAMCET 2024 Easy - Which of the following are broad spectrum antibiotics?
\(\begin{array}{cccl} \hline \text { Penicillin G } & \begin{array}{c} \text { Chloramphenicol } \end{array} & \text { Ofloxacin } & \text { Ampicillin } \\ \hline \text { (I) } & \text { (II) } & \text { (III) } & \text { (IV) } \\ \hline \end{array}\)AP EAMCET 2019 Medium - The angles of a triangle are in the ratio \(3: 5: 10\). Then the ratio of the smallest side to the greatest side is :AP EAMCET 2006 Medium
- The ratio of the areas of the greatest and the smallest circles touching \((x \pm 1)^2+(y \pm 1)^2=1\) isAP EAMCET 2022 Medium