Webb12 nov. 2024 · How do we find an equation of the plane passing through two points and is perpendicular to a given plane?In general, when we want to find an equation of a pl... Webb27 mars 2024 · Let the Equation of the plane is given by (Equation 2) where A, B, and C are the direction ratio of the plane perpendicular to the plane. Since Equation 1 is Equation 2 are perpendicular to each other, therefore the value of the direction ratio of Equation 1 & 2 are parallel. Then the coefficient of the plane is given by:
The equation of the plane passing through the intersection of the ...
WebbThe vector equation of the plane passing through the intersection of the planes → r ⋅(^i +^j +^k) =1 and → r ⋅(^i −2^j)= −2, and the point (1,0,2) is A → r ⋅(^i −7^j +3^k)= 7 3 B → r ⋅(^i +7^j +3^k)=7 C → r ⋅(3^i +7^j +3^k)=7 D → r ⋅(^i +7^j +3^k)= 7 3 Solution The correct option is C → r ⋅(^i +7^j +3^k)= 7 Webb30 mars 2024 · (a) (1, 1, –1), (6, 4, –5), (–4, –2, 3) Vector equation of a plane passing through three points with position vectors 𝑎 ⃗, 𝑏 ⃗, 𝑐 ⃗ is ("r" ⃗ − 𝒂 ⃗) . [ (𝒃 ⃗−𝒂 ⃗)× (𝒄 ⃗−𝒂 ⃗)] = 0 Now, the plane passes through the points (𝒃 ⃗ − 𝒂 ⃗) = (6𝑖 ̂ + 4𝑗 ̂ – 5𝑘 ̂) − (1𝑖 ̂ + 1𝑗 ̂ − 1𝑘 ̂) = (6 −1)𝑖 ̂ + (4 − 1)𝑗 ̂ + (−5 − (−1)) 𝑘 ̂ = 5𝒊 ̂ + 3𝒋 ̂ − 4𝒌 ̂ A (1, … photo reduce size 15 kb
Equation of the Plane Passing Through Two Points and is
WebbExample: Find an equation for the plane passing through the points Q ( − 1, 1, 2), R ( − 4, 2, 2), S ( − 2, 1, 5). Solution: when the plane passes through Q, R, and S, then the vectors Q R → = − 3, 1, 0 , Q S → = − 1, 0, 3 , lie in the … Webb26 mars 2024 · 19.6k views asked Mar 26, 2024 in Mathematics by MukeshKumar (32.2k points) If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line x+1 2 = y−3 1 = z+2 −1 x + 1 2 = y − 3 1 = z + 2 − 1 and containing the line WebbQ. Find the equation of the plane passing through the intersection of the planes 2x + 3y − z + 1 = 0 and x + y − 2z + 3 = 0 and perpendicular to the plane 3x − y − 2z − 4 = 0. Q. Find … how does schipper define a city