AP EAMCET · Maths · Vector Algebra
\(\vec{a}, \vec{b}, \vec{c}\) are non-coplanar vectors. If \(\alpha \vec{d}=\vec{a}+\vec{b}+\vec{c}\), \(\beta \vec{a}=\vec{b}+\vec{c}+\vec{d}\), then \(|\vec{a}+\vec{b}+\vec{c}+\vec{d}|=\)
- A \(1\)
- B \(2\)
- C \(|\vec{a}-\vec{b}-\vec{c}|\)
- D \(0\)
Answer & Solution
Correct Answer
(D) \(0\)
Step-by-step Solution
Detailed explanation
\(\vec{a}+\vec{b}+\vec{c}=\alpha \vec{d}\) [Given] \(\Rightarrow \vec{b}+\vec{c}=\alpha \vec{d}-\vec{a}\) ....(i) \(\vec{b}+\vec{c}+\vec{d}=\beta \vec{a}\) [Given] \(\Rightarrow \vec{b}+\vec{c}=\beta \vec{a}-\vec{d}\) ....(ii)…
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
- \(\int e^{4 x^2+8 x-4}(x+1) \cos \left(3 x^2+6 x-4\right) d x=\)AP EAMCET 2024 Medium
- If \(A\) is a non-zero square matrix of order \(n\) with \(\operatorname{det}(I+A) \neq 0\) and \(A^3=O\), where \(I, O\) are unit and null matrices of order \(n \times n\) respectively, then \((I+A)^{-1}\) is equal toAP EAMCET 2010 Hard
- For a binomial variate with parameters and . If and , thenAP EAMCET 2018 Easy
- \(\bar{a}, \bar{b}, \bar{c}\) are three vectors such that \(|\bar{a}|=2,|\bar{b}|=3,|\bar{c}|=5,|\bar{a}+\bar{b}+\bar{c}|=\sqrt{69}\). If \((\bar{a}, \bar{b})=(\bar{b}, \bar{c})=\frac{\pi}{3}\) then \((\bar{c}, \bar{a})=\)AP EAMCET 2025 Medium
- In triangle \(A B C\) if \(\cos A \cos B+\sin A \sin B \sin C=1\), then \(\sin A+\sin B+\sin C=\)AP EAMCET 2025 Medium
- \(\int x\left(\tan ^2 x\right) d x=\)AP EAMCET 2020 Medium
More PYQs from AP EAMCET
- If \(x=\frac{2.5}{(2 !) 3}+\frac{2.5 .7}{(3 !) 3^2}+\frac{2.5 .7 .9}{(4 !) 3^3}+\ldots\) then \(x^2+8 x+8=\)AP EAMCET 2017 Medium
- A stone is dropped from the top of a tall building and after 2 seconds another stone is thrown vertically downwards with a velocity \(5 \mathrm{~ms}^{-1}\) from the same point. Then the distance from the top of the building at which second stone overtakes the first is ____ \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)AP EAMCET 2017 Medium
- If \([x]\) denotes the greatest integer not exceeding \(x\) and if the function \(f\) defined by
\(f(x)= \begin{cases}\frac{a+2 \cos x}{x^2} & , x < 0 \\ b \tan \frac{\pi}{[x+4]} & , x \geq 0\end{cases}\)
is continuous at \(x=0\), then the ordered pair \((a, b)\) is equal toAP EAMCET 2011 Hard - From the following plots, find the correct option.
AP EAMCET 2022 Easy - If \(f(x)=2 x^6-3\) thenAP EAMCET 2018 Easy
- There are 800 families with four children in each family. Assuming equal chance for every child to be a boy or a girl, the number of
families expected to have children of both sexes isAP EAMCET 2019 Medium