(2)ⅱ -5x+3y+12z=12 (3)ⅱ -y+z=3 {many vector forms exist} 反馈 收藏
Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to the vector 3ˆi+5ˆj−6ˆk. A6√70 B5√70 C8√70 D7√70Submit Find the vector equation of a plane which is at a distance of 6 units from the origin and has 2, -1, ...
Understanding theequation of a planeinnormal formis essential ingeometry,physics, and engineering. It is mathematically expressed asax + by + cz = d, where (a, b, c) is thenormal vector, indicating the plane’s orientation. The constant d determines the distance of the plane from the origin...
NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS Find the vector equation of the plane passing through the point hati +... 08:26 The equation of plane in vector form passing through the points (1 ,0... 04:29 The vector equation of the plane passing through the points (1,-2,1),(.....
Write the equation of the plane through the origin and the points P(1,1,1) and Q(1,−1,3).Equation of PlaneThe equation of plane can be found in vector form and in Cartesian form. The equation of plane can be expressed as Ax+By+Cz=D. This is called the...
Finally, we use this embedding to characterize the functions in the image of L ξ .doi:10.1007/s10455-010-9231-3Roberto De LeoSpringer NetherlandsAnnals of Global Analysis and GeometryR. DeLeo, Solvability of the cohomological equation for regular vector fields on the plane, to appear in Ann...
The normal vectors of two parallel planes are equal or have their coordinates in proportion. Answer and Explanation: Given: Consider the plane passing through (−9,2,4) and parallel to plane 6x−6y+4z=0. The vector....
If we let X = [x y z], we can rewrite the vector X − P in terms of its components, yielding X − P = [ x − Px y − Py z − Pz ] If we let n→=[abc], then we can rewrite the normal-point form of the plane equation as...
Given that the plane contains line r= i+ j+λ ( i +2 j- k) and point A (-1,3,-4).Hence, the point b = i+ j and the vector c = i +2 j- k lies on the plane.If the co - ordinates of a point A (x_1,y_1,z_1), then the position vector of A(a ) isa=x_...
In subject area: Computer Science A vector equation is a mathematical expression that represents a straight line or a plane using a combination of a fixed point and a direction vector. AI generated definition based on: Mathematical Formulas for Industrial and Mechanical Engineering, 2014 ...