AP EAMCET · Maths · Vector Algebra
Let \(\bar{a}, \bar{b}, \bar{c}\) be three vectors such that \(|\bar{a}|=|\bar{c}|=1,|\bar{b}|=4,|\bar{b} \times \bar{c}|=\sqrt{15}\). If \(\lambda \bar{a}=\bar{b}-2 \bar{c}\), then the value of \(\lambda\) is
- A \(\pm 1\)
- B \(\pm 2\)
- C \(\pm 3\)
- D \(\pm 4\)
Answer & Solution
Correct Answer
(B) \(\pm 2\)
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
- Maximum area of the rectangle inscribed in a circle of radius \(10 \mathrm{cms}\) isAP EAMCET 2022 Medium
- When the axes are rotated through an angle , the new coordinates of a point are . The coordinates of in the original system areAP EAMCET 2021 Easy
- Area of the region enclosed by the curves \(3 x^2-y^2-2 x y\) \(+4 x+1=0\) and \(3 x^2-y^2-2 x y+6 x+2 y=0\) isAP EAMCET 2024 Hard
- Let \(\mathrm{f}(x)=\min \left\{x, x^2\right\}\) for every real number of \(x\). thenAP EAMCET 2024 Medium
- The number of solutions of the trigonometric equation \(1+\cos x \cdot \cos 5 x=\sin ^2 x\) in \([0,2 \pi]\) isAP EAMCET 2017 Medium
- For a binomial variate with parameters and . If and , thenAP EAMCET 2018 Easy
More PYQs from AP EAMCET
- In any triangle \(\mathrm{ABC}, a(b \cos C-c \cos B)=\)AP EAMCET 2022 Hard
- The number of values of for which the pair of lines represented by are at right angles to each other, isAP EAMCET 2019 Easy
- A unit vector orthogonal to the vector \(3 \bar{i}+4 \bar{j}+5 \bar{k}\) and coplanar with the vectors \(\bar{i}+\bar{j}+\bar{k}\) and \(\bar{i}-\bar{j}+\bar{k}\) isAP EAMCET 2017 Easy
- If \(r_1, r_2\) and \(r_3\) represent the most probable speeds of three different gases at the same temperature as shown in figure with molar masses \(M_1, M_2\) and \(M_3\) respectively. The correct order of molar masses of these gases is
AP EAMCET 2018 Easy - \(\int_0^{\pi / 2} e^{\sin x} \cdot \cos x d x=\)AP EAMCET 2020 Medium
- If the normal chord draw n at the point \(\left(\frac{15}{2}, \frac{15}{\sqrt{2}}\right)\) to the parabola \(\mathrm{y}^2=15 \mathrm{x}\) subtends an angle \(\theta\) at the vertex of the parabola, then \(\sin \frac{\theta}{3}+\cos \frac{2 \theta}{3}-\sec \frac{4 \theta}{3}=\)AP EAMCET 2025 Hard