If a line makes angle alpha beta gamma
WebA line makes angles α,β,γ,δ with the four diagonals of a cube then cos 2α+cos 2β+cos 2γ+ cos 2δ is equal to A 1 B 4/3 3/4 D 4/5 Medium Solution Verified by Toppr Correct option is B) REF.Image Take 'O' as a corner OA,OB,OC are 3 edges through the axes Let … Web10 apr. 2024 · Asymmetric allyl–allyl coupling of unsymmetrical allyl compounds represents an especially challenging type of reaction since, besides control over the enantioselectivity, many different regio- and stereoisomers can originate from coupling at either the α or γ position of both allylic reagents (Scheme 1a).
If a line makes angle alpha beta gamma
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WebSuppose this line makes angle α, γ, γ and δ with OP,AR, BS and CQ respectively. Now α is the angle between OP and the line whose DR's are proportional to l,m,n. ∴ c o s α = a. l + a. m + a. n √ a 2 + a 2 + a 2. √ l 2 + m 2 + n 2 ⇒ c o s α = l + m + n √ 3 √ l 2 + m 2 + n 2..... (1) Now β is the angle between AR and the line ... WebA line makes angles α,β,γ with the coordinate axes. If α+β = π 2, then (cosα+cosβ+cosγ)2 is equal to A 1+sin2α B 1+cos2α C 1−sin2α D 1 Solution The correct option is A 1+sin2α Given: β = π 2−α ⇒ cos2α+cos2β+cos2γ =1 ⇒ cos2α+cos2( π 2−α)+cos2γ = 1 ⇒ cos2α+sin2α+cos2γ= 1 ⇒ 1+cos2γ = 1 ⇒ cos2γ = 0 ⇒ γ =90∘
Web10 sep. 2024 · Direction cosines: The cosines of direction angles are the direction cosines of the line. Hence, cos α, cos β and cos γ are called as the direction cosines, It is denoted by l, m and n. ⇔ l = cos α, m = cos β and n = cos γ. The sum of squares of the direction cosines of a line is equal to unity. l 2 + m 2 + n 2 = 1 or cos2 α + cos2 β ... Web7 apr. 2024 · Now, we know that if a line makes angles α, β, γ with the coordinate axes then its direction cosines are cos α, cos β, cos γ respectively. We also know the property of direction cosines that the sum of the squares of all the direction cosines is equal to 1. i.e. cos 2 α + cos 2 β + cos 2 γ = 1
WebExample 26 A line makes angles a, ß, γ and d with the diagonals of a cube, prove that cos^ 2a + cos^2 ß + cos^2 γ + cos2 d =4/3 Web3d Geometry: A line makes angles alpha, beta, gamma and delta with four diagonals of a cube. - YouTube 0:00 / 11:00 3d Geometry: A line makes angles alpha, beta, gamma and delta with four...
Web11 aug. 2024 · Answer is : B. 2 Given - A vector makes angle α, β and γ with the x-axis, y-axis and z-axis respectively. To Find - (sin2α + sin2β + sin2γ) Formula to be used - cos2α + cos2β + cos2γ = 1 Hence, sin2α + sin2β + sin2γ = (1 - cos2α) + (1 - cos2β) + (1 - cos2γ) = 3 – (cos2α + cos2β + cos2γ) = 3 -1 = 2 ← Prev Question Next Question →
WebIf a line makes angles α, β, γ, δ with four diagonals of a cube, then cos 2 α + cos 2 β + cos 2 γ + cos 2 δ is equal to Options 1 3 2 3 4 3 8 3 Advertisement Remove all ads Solution 4 3 Let a be the length of an edge of the cube and let … cereal mascot monkey commercialWeb15 nov. 2024 · If a line makes angle α, β and γ with the coordinate axis, then find the value of cos 2α + cos 2β + cos 2γ. three dimensional geometry cbse class-12 Share It On 1 Answer +1 vote answered Nov 15, 2024 by Harprit (61.0k points) selected Nov 25, 2024 by Vikash Kumar Best answer cos 2α + cos 2β + cos 2γ ← Prev Question Next Question → buy second home before selling firstWeb5 uur geleden · The convective envelopes of solar-type stars and the convective cores of intermediate- and high-mass stars share boundaries with stable radiative zones. Through a host of processes we collectively refer to as “convective boundary mixing” (CBM), convection can drive efficient mixing in these nominally stable regions. In this … buy second hand wood burnerWebFig. 6 (a) and (b) show the nonlinear dynamic response characteristics of the symmetrical bistable structure during p = 0. 1 and γ = 0.1. Results predicted by the analysis are shown as points and circles whereas results obtained by numerically integrating the governing Eq. (12) are plotted as crosses for verification purposes. The numerical results represent the … buy second hand wedding dressesWeb13 okt. 2024 · Its layered structure is similar to that of α-zirconium phosphate, Zr(HPO4)2·H2O. However, unlike α-zirconium phosphate which is limited in practical applications by its narrow interlayer spacing (d = 7.6 Å), the disodium zirconium phosphate has a larger spacing of 8.6 Å between planes. buy second hand volkswagen poloWebIf a line makes angle \( \alpha, \beta \) and \( \gamma \) with the coordinateP axes respectively, then \( \cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma= \)W(1) 2... buy second hand wardrobeWebasked Apr 18, 2024 in Geometry by Somyek (121k points) A line makes angles α, β, γ α, β, γ with X, Y, Z axes respectively. If α = β α = β and γ = 45∘ γ = 45 ∘, then α + β + γ = α + … buy second home child pays mortgage