AP EAMCET · Maths · Vector Algebra
Let \(\mathbf{F}=2 \hat{i}+2 \hat{j}+5 \hat{k}, A=(1,2,5)\), \(B=(-1,-2,-3)\) and \(\mathbf{B A} \times \mathbf{F}=4 \hat{i}+6 \hat{j}+2 \lambda \hat{k}\), then \(\lambda=\)
- A \(0\)
- B \(1\)
- C \(2\)
- D \(-2\)
Answer & Solution
Correct Answer
(D) \(-2\)
Step-by-step Solution
Detailed explanation
Given, \(\begin{aligned} & \mathbf{F}=2 i+2 j+5 k, A=(1,2,5) \\ & B=(-1,-2,-3) \\ & \mathbf{B A}=\mathbf{A}-\mathbf{B}=(\hat{i}+2 \hat{j}+5 \hat{k})-(-\hat{i}-2 \hat{j}-3 \hat{k}) \\ & \mathbf{B A}=2 \hat{i}+4 \hat{j}+8 \hat{k}\end{aligned}\)…
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
- In \(\triangle A B C, b c-r_2 r_3=\)AP EAMCET 2024 Medium
- For any \(a, b, c \in \mathbf{R}\), the determinant \(\left|\begin{array}{lll}b c & b+c & 1 \\ c a & c+a & 1 \\ a b & a+b & 1\end{array}\right|\) is equal toAP EAMCET 2020 Easy
- If \(\theta\) is the acute angle between the asymptotes of a hyperbola \(7 \mathrm{x}^2-9 \mathrm{y}^2=63\), then \(\cos \theta=\)AP EAMCET 2025 Medium
- For \(k > 0, \sum_{x=0}^{\infty} \frac{k^x}{x !} \lim _{n \rightarrow \infty} \frac{n !}{(n-x) !}\left(1-\frac{k}{n}\right)^{n-x}\left(\frac{1}{n}\right)^x=\)AP EAMCET 2019 Hard
- If the directrix of the parabola \(x^2+4 y-6 x+\lambda=0\) is \(y+1=0\), then which of the following is correct?AP EAMCET 2022 Easy
- Let \(a \neq 0\) and \(p(x)\) be a polynomial of degree greater than 2. If \(p(x)\) leaves remainders a and \(-a\) when divided respectively by \(x+a\) and \(x-a\), then the remainder when \(p(x)\) is divided by \(x^2-a^2\) is :AP EAMCET 2003 Medium
More PYQs from AP EAMCET
- If \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, 3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) are sides of a parallelogram, then a unit vector is parallel to one of the diagonals of the parallelogram isAP EAMCET 2004 Easy
- When the reaction \(A+2 B \rightleftharpoons 2 C+D\) was studied, it was observed that the initial concentration of \(B\) was 1.5 times that of \(A\), and the equilibrium concentrations of \(A\) and \(C\) were equal. Then \(K_C\) for the given equilibrium is equal toAP EAMCET 2021 Medium
- Which of the following arrangements is correct regarding the three types of radii for an atom?AP EAMCET 2020 Medium
- If \(\alpha\) is the common root of the quadratic equations \(x^2-5 x+4 a=0\), \(x^2-2 a x-8=0\), where \(a \in \mathbb{R}\), then the value of \(\alpha^4-\alpha^3+68\) isAP EAMCET 2025 Medium
- AP EAMCET 2018 Medium
- Which one of the following is used in the preparation of cellulose nitrate?AP EAMCET 2012 Medium