If the plane 2x-3y+6z-11 0 makes an angle
WebThe plane `2x-3y+6z-11=0` makes an angle `sin^(-1)(alpha)` with X-axis. The value of `alpah` is ... Web10 apr. 2024 · The length of the perpendicular drawn from the origin to the plane 2x - 3y + 6z - 42 = 0 is Q10. Find the distance of the plane having intercept 3, 4 and -1 from the origin.
If the plane 2x-3y+6z-11 0 makes an angle
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Web12 apr. 2024 · If the plane `2x-3y-6z-11=0` makes an angle `sin^-1 (k)` with x-axis then k is equal to (A) `sqrt(3)/2` (B) `2/7` (C) `sqrt(2)/3` (D) 1 WebFrom the video, the equation of a plane given the normal vector n = [A,B,C] and a point p1 is n . p = n . p1, where p is the position vector [x,y,z]. By the dot product, n . p = Ax+By+Cz, which is the result you have observed for the left hand side. The right hand side replaces the generic vector p with a specific vector p1, so you would simply ...
WebSolution: Let the equation of X-axis be ax−0 = 0y−0 = 0z−0 Here, a2 = a, b1 = 0 and c1 = 0 Given equation of plane is 2x− 3y +6z −11 = 0 Here, a2 = 2, b2 = −3, c2 = 6 Let θ be the … WebIf the plane 2x - 3y + 6z - 11 = 0 makes an angle sin^-1 (k) with x - axis, then k is equal to: Class 12 >> Maths >> Three Dimensional Geometry >> Point, Line and Plane >> If the …
WebComparing the given equations 2x−3y+4z−1=0, −x+y−4=0 with a 1x+b 1y+c 1z+d 1= 0 and a 2x+b 2y+c 2z+d 2=0 we get, a 1=2,b 1=−3,c 1=4 and a 2=−1,b 2=1,c 2=0. The angle between plane is, ⇒ cosθ= a 12+b 12+c 12a 22+b 22+c 22a 1a 2+b 1b 2+c 1c 2. = (2) 2+(−3) 2+(4) 2(−1) 2+(1) 2+(0) 2(2)(−1)+(−3)(1)+(4)(0) = 4+9+161+1−2−3 ... WebGiven, plane 2x – 3y + 6z – 11 = 0 makes an angle sin –1 α with x-axis Since n → = 2 i ^ - 3 j ^ + 6 k ^ for given plane and sin θ = b →. n → b → n → Here θ is angle between n → and b → where b → = i ^ ∵ x - axis is given ∴ sin sin - 1 α = i ^. 2 i ^ - 3 j ^ + 6 k ^ 1 2 2 2 + 3 2 + 6 2 i. e. sin sin - 1 α = 2 1 4 + 36 + 9 i. e. α = 2 7
Web>> Plane 2x + 3y + 6z = 15 = 0 makes angle . Question . 31) Plane 2x + 3y + oz-15 = 0 makes angle of mess x with X-axis. (4) tan"} (D) cos-13V5 Open in App. Solution. Verified by Toppr. ... class 11. Oscillations Redox Reactions Limits and Derivatives Motion in a Plane Mechanical Properties of Fluids.
Web17 mei 2024 · The plane `2x-3y+6z-11=0` makes an angle `sin^(-1)(alpha)` with X-axis. The value of `alpah` is ... cwm rhondda choirWeb30 mrt. 2024 · Transcript. Ex 11.3, 14 In the following cases, find the distance of each of the given points from the corresponding given plane. The distance of the point (x1, y1, z1) from the plane Ax + By + Cz = D is (𝑨𝒙_𝟏 + 〖𝑩𝒚〗_𝟏 +〖 𝑪𝒛〗_𝟏 − 𝑫)/√ … cheap golf range finders comparisonWebIf the plane `2x-3y-6z-11=0` makes an angle `sin^-1 (k)` with x-axis then k is equal to (A) `sqrt(3)/2` (B) `2/7` (C) `sqrt(2)/3` (D) 1 cwm rhondda skip hireWebThe plane 2x – 3y + 6z – 11 = 0 makes an angle sin–1(α) with x-axis. The value of α is equal to (A) √3/2 (B) √2/3 (C) 2/7 (D) 3/7 three dimensional geometry class-12 1 Answer 0 votes answered Sep 7, 2024 by … cheap golf rates myrtle beachWebThe plane 2x− 3y + 6z − 11 = 0 makes an angle sin−1(α) with x -axis. The value of α is equal to 1780 40 Three Dimensional Geometry Report Error A 23 B 32 C 72 D 73 Solution: Direction ratio of x -axis is (1,0,0) and direction ratio of the normal to the plane 2x− 3y + 6z = 11 is (2,−3,6). Then, sin(sin−1α) = 02+02+12 22+(−3)2+622+0+0 ⇒ α = (72) cheap golf shafts wholesaleWebProve: In a parallelogram, the sum of the squares of the lengths of its diagonals is equal to the sum of the squares of the lengths of its sides. arrow_forward Prove that the diagonals of a trapezoid divide themselves proportionally. arrow_forward The planes with the equation x+2z=12 and y-3z=6 intersect in a line. cwm rhondda meaning in englishWeb19 feb. 2024 · In this video, I am discussing a problem related to finding an orthocenter in 3D Geometry.#JEE2024 #3DGeometry cwm rhaeadr mtb