AP EAMCET · Maths · Vector Algebra
Let \(\bar{a}=4 \bar{i}+5 \bar{j}-\bar{k}, \bar{b}=\bar{i}-4 \bar{j}+5 \bar{k}, \bar{c}=3 \bar{i}+\bar{j}-\bar{k}\) and let \(\bar{\alpha}\) be a vector perpendicular to both \(\bar{a}\) and \(\bar{b}\) such that \(\bar{\alpha} \cdot \bar{c}=63\). Then \(\bar{\alpha}=\)
- A \(7 \bar{i}-7 \bar{j}-7 \bar{k}\)
- B \(3 \bar{i}-3 \bar{j}-3 \bar{k}\)
- C \(21 \bar{i}-21 \bar{j}-21 \bar{k}\)
- D \(21 \bar{i}-7 \bar{j}-7 \bar{k}\)
Answer & Solution
Correct Answer
(C) \(21 \bar{i}-21 \bar{j}-21 \bar{k}\)
Step-by-step Solution
Detailed explanation
No solution. Refer to answer key.
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 \(A=\left[\begin{array}{ccc}1 & 2 & -2 \\ 2 & -1 & 2 \\ -1 & 1 & -2\end{array}\right]\), then \(A+2 A^{-1}=\)AP EAMCET 2025 Medium
- If \(\operatorname{Tan}^{-1}\left[\frac{1}{1+2}\right]+\operatorname{Tan}^{-1}\left[\frac{1}{1+(2)(3)}\right]+\operatorname{Tan}^{-1}\left[\frac{1}{1+(3)(4)}\right]+\cdots \cdots+\operatorname{Tan}^{-1}\left[\frac{1}{1+n(n+1)}\right]=\operatorname{Tan}^{-1} \theta\), then \(\theta=\)AP EAMCET 2020 Medium
- If the slope of one of the lines in the pair of lines \(8 x^2+a x y+y^2=0\) is thrice the slope of the second line, then \(a=\)AP EAMCET 2024 Easy
- If the planes \(2 x+3 y+4 z+7=0\) and \(4 x+k y+8 z+1\) \(=0\) are parallel, then the equation of the plane passing through is point \((\mathrm{k}, \mathrm{k}, \mathrm{k})\) and having the direction ratios of its normal as \((\mathrm{k}-1, \mathrm{k}, \mathrm{k}+1)\) isAP EAMCET 2023 Easy
- If \(x=3\left[\sin t-\log \left(\cot \frac{t}{2}\right)\right]\) and \(y=6\left[\cos t+\log \left(\tan \frac{t}{2}\right)\right]\) then \(\frac{d y}{d x}=\)AP EAMCET 2024 Easy
- If the sum of two roots of \(x^3+p x^2+q x-5=0\) is equal to its third root, then \(p\left(p^2-4 q\right)=\)AP EAMCET 2024 Easy
More PYQs from AP EAMCET
- A compound is formed by two elements A and B. Atoms of the element B (as anion) make ccp lattice and those of element \(A\) (as cation) occupy all tetrahedral voids. The formula of the compound isAP EAMCET 2025 Medium
- Which of the following parameters does not characterise the thermodynamic state of matter?AP EAMCET 2020 Easy
- If each of the observations \(x_1, x_2, \ldots, x_n\) is increased or decreased by \(k\), where \(k\) is a positive number, then the variance of the daAP EAMCET 2023 Easy
- If the angle \(\theta\) between the vectors \(\overrightarrow{\mathbf{a}}=2 x^2 \hat{\mathbf{i}}+4 x \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{b}}=7 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+x \hat{\mathbf{k}}\) is such that \(90^{\circ} < \theta < 180^{\circ}\), then \(x\) lies in the intervalAP EAMCET 2010 Hard
- The displacements of two particles of same mass executing SHM are represented by the equations
\(x_1=4 \sin \left(10 t+\frac{\pi}{6}\right) \text { and } x_2=5 \cos (\omega t) .\)
The value of \(\omega\) for which the energies of both the particles remain same isAP EAMCET 2010 Medium - A mixture of ethyl iodide and n-propyl iodide is subjected to Wurtz reaction. The hydrocarbon which will not be formed isAP EAMCET 2024 Medium