AP EAMCET · Maths · Three Dimensional Geometry
The angle made by the vector with the plane represented by is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
The normal vector is given as n→=i^+j^+2k^. The equation of plane is r→·(i^+j^+2k^)=7. The angle made by the vector (2i^-j^+k^) with i^+j^+2k^ is cosθ=2×1+(-1)×1+1×222+12+1212+12+22 ⇒cosθ=366=12 ⇒θ=60° The angle…
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 \(A>0, B>0\) and \(A+B=\frac{\pi}{3}\), then the maximum value of \(\tan A \tan B\) isAP EAMCET 2016 Hard
- \(\int \frac{\sqrt{1-x^2} \sin ^{-1} x+x}{\sqrt{1-x^2}} d x=\)AP EAMCET 2019 Hard
- \(A(a, 0)\) is a fixed point and \(\theta\) is a parameter such that \(0 < \theta < 2 \pi\). If \(\mathrm{P}(\mathrm{a} \cos \theta, \mathrm{a} \sin \theta)\) is a point on the circle \(\mathrm{x}^2+\mathrm{y}^2=\mathrm{a}^2\) and \(\mathrm{Q}(\mathrm{b} \sin \theta,-\mathrm{b} \cos \theta)\) is a point on the circle \(x^2+y^2=b^2\), then the locus of the centroid of the triangle APQ isAP EAMCET 2025 Medium
- Let \(S=\{0,1,2,3, \ldots, 100\}\). The number of ways of selecting \(x, y \in S\) such that \(x \neq y\) and \(x+y=100\) isAP EAMCET 2018 Medium
- is equal toAP EAMCET 2021 Medium
- If \(f(t)=\int_0^t \tan ^{(2 n-1)} x d x, n \in N\), then \(f(t+\pi)=\)AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- A ray of light incident along a line, meets another line \(7 x-y+1=0\) at the point \((0,1)\) and it is then reflected from this point along the line \(y+2 x=1\). Then the equation of the line of incidence of the ray of light isAP EAMCET 2023 Medium
- A conducting rod \(P Q\) of length \(1 \mathrm{~m}\) is moving with a uniform speed \(2 \mathrm{~ms}^{-1}\) in a uniform magnetic field of \(4 \mathrm{~T}\) which is directed into the paper. A capacitor of capacity \(10 \mu \mathrm{F}\) is connected as shown in the figure. Then, the charge on the plates of the capacitor are
AP EAMCET 2018 Hard - \(\int_{-3}^3|2-x| d x=\)AP EAMCET 2024 Easy
- A circular parallel plate capacitor of radius \(R\) and spacing \(d\) is being charged by a constant current \(I_D\). Find the magnetic field between the plates at a distance \(r\) from the axis, where \(r>R\).AP EAMCET 2020 Medium
- If \(x^2+p x+1\) is a factor of \(a x^3+b x+c\), thenAP EAMCET 2022 Easy
- The least intercept made by a tangent to the ellipse \(\frac{x^2}{64}+\frac{y^2}{49}=1\) with coordinate axes isAP EAMCET 2022 Hard