AP EAMCET · Maths · Vector Algebra
If the angles between the sides of the triangle ABC formed by \(\mathrm{A}(2,3,5)\), \(B(-1,3,2)\) and \(C(3,5,-2)\) are \(\alpha, \beta\) and \(\gamma\), then \(\sin ^2 \alpha+\sin ^2 \beta+\sin ^2 \gamma=\)
- A 1
- B 2
- C \(\frac{3}{2}\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\(\vec{AB} = B-A = (-3,0,-3)\) \(\vec{AC} = C-A = (1,2,-7)\) \(\vec{BC} = C-B = (4,2,-4)\)…
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
- A random variable has the probability distribution :
For the events and then isAP EAMCET 2021 Medium - If \(\bar{i}+\bar{j}-\bar{k},-\bar{i}+2 \bar{j}+\bar{k}, \bar{j}+2 \bar{k}, 2 \bar{i}-\bar{j}+2 \bar{k}\) are the position vectors of four points \(A, B, C, D\) respectively, then the shortest distance between the lines \(A B\) and \(C D\) isAP EAMCET 2025 Medium
- If thenAP EAMCET 2020 Medium
- The solution of the equation \(\sin ^{-1} x+\sin ^{-1} 2 x=\frac{\pi}{3}\) isAP EAMCET 2019 Easy
- If the circle \(x^2+y^2+6 x-2 y+k=0\) bisects the circumference of the circle \(x^2+y^2+2 x-6 y-15=0\), then \(k=\)AP EAMCET 2019 Easy
- If \(\alpha_1, \alpha_2, \alpha_3 \ldots, \alpha_n\) are real numbers, \(\alpha_1 \neq 0\) and \(z=\cos \theta+i \sin \theta\) is a root of the equation \(\alpha_1+\alpha_2 z+\alpha_3 z^2+\ldots+\alpha_n z^{n-1}+z^n=0\), then \(\alpha_1 \cos n \theta+\alpha_2 \cos (n-1) \theta+\ldots+\alpha_n \cos \theta=\)AP EAMCET 2018 Medium
More PYQs from AP EAMCET
- The point \((3,4)\) is the focus and \(2 x-3 y+5=0\) is the directrix of a parabola. Its latusrectum isAP EAMCET 2015 Easy
- If \(x^2+y^2=t-\frac{1}{t}\) and \(x^4+y^4=t^2+\frac{1}{t^2}\), then \(\frac{d y}{d x}=\)AP EAMCET 2025 Medium
- Given, three collinear points \(A(3,1), B(7,-1)\) and \(C(5,0)\). The length of a tangent drawn from \(A\) to any circle that passes through \(B\) and \(C\) is ....... units.AP EAMCET 2021 Medium
- Aniline is not the major product in one of the following reactions. Identify that reactionAP EAMCET 2003 Easy
- A concave lens and a convex lens are arranged as shown in the figure. The position of the final image.
AP EAMCET 2022 Easy - \(\frac{1}{3.7}+\frac{1}{7.11}+\frac{1}{11.15}+\ldots\) to 50 terms \(=\)AP EAMCET 2024 Hard