百度试题 结果1 题目(1) Find the vector equation of a plane which is at 42 unit distance from the origin and which is normal to the vector 2i+ j-2k. 相关知识点: 试题来源: 解析 ·(2i+j-2k)=126 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, ...
Explain how to find an equation of a vector normal to the surface. Let S be part of the plane with vector equation r(u, v) = \langle u + v, 2 - 3u,1 + u -v \rangle that is given by 0 \leq u \leq 2, -1 \leq v \leq 1. Find the area of the surface...
Vector Equation of a Plane: →r.^nr→.n^ = dThere are two methods of finding the vector equations of a line and four methods of finding the vector equations of a plane. Let us check the different vector equations of a line and a plane....
<p>To find the vector equation of a plane passing through a given point and perpendicular to a specified vector, we can follow these steps:</p><p><strong>Step 1: Identify the given information</strong> We have: - A point \( A \) with position vector \( \
The vector equation of a plane is given by, (r-a).n=0, where a is the position vector of a point on plane and n is the normal vector.Hence, the vector equation is (r- i- j ).(-6 i+6 j+6 k)=0 or r.(-6 i+6 j+6 k)=0 or r.(- i+ j+ k)=0.We have to ...
Vector Equations of a Plane:A plane can be specified by three non-collinear points. The equation of a plane passing through the points (a,b,c) with a normal vector (A,B,C) is expressed in the equation A(x−a)+B(y−b)+C(z−c)=0....
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 ...
Find the equation of a plane containing P_0=(1,2,3) and perpendicular to n=[1,-1,2] . Solution: (x-1)-(y-2)+2(z-3)=0\Rightarrow x-y+2z=5 3.3 The line of intersection of two planes Example Find a vector tangent to the line of intersection of the planes Solution: We ...
Sometimes it is useful to replace the short vector forms of the equation of a plane with a form in which the vectors are replaced with their components: x = 〈x, Y, z〉 and n = 〈xn, yn, zn〉. Thus, expanding Eq. (5.11) gives the following equation....