The general equation of this plane can be determined from a determinant by relating the components of the three points that define the plane. Answer and Explanation:1 Given the points {eq}\left( {1,0,1} \right),\left( {0,1,1} \right),\left( {0,0,2} \right) ...
The equation of plane through the line of intersection of given planes {eq}x + y - z = 3 \enspace \text{and} \enspace 3x - y + 5z = 2 {/eq} is {eq}... Learn more about this topic: Finding the Plane ...
Finding the Plane Equation From 3 Points | Overview & Examples from Chapter 7 / Lesson 11 95K Discover planes and the procedure for finding the equation of a plane when given three points. Learn to define planes and see equation ...
Discover planes and the procedure for finding the equation of a plane when given three points. Learn to define planes and see equation of the plane examples. Related to this Question Find an equation of the plane that is orthogonal to the vector...
To find the vector equation of the plane passing through the three given points with position vectors A=^i+^j−2^k, B=2^i−^j+^k, and C=^i+2^j+^k, we will follow these steps: Step 1: Find the vectors AB and BC To find the vectors AB and BC:AB=B−A=(2^i−^j...
Find an equation of the plane.The plane through the point and parallel to the plane x+y+z=0 相关知识点: 试题来源: 解析 Since the two planes are parallel, they will have the same normal vectors. So we can take n=(1,1,1) and an eauation of the plane is or or 6x+6y+6z=11...
To find the vector equation of a plane passing through a given point and perpendicular to a specified vector, we can follow these steps:Step 1: Identify the given information We have: - A point \( A \) with position vector \( \
百度试题 结果1 题目find an equation of the plane passing through the point perpendicular to the given vector or line.Point: (3,2,2)Perpendicular to: (x-1)4=y+2= (z+3)(-3) 相关知识点: 试题来源: 解析 4x+y-3z-8=0 反馈 收藏 ...
15Findtheparametricequationsforthelinethroughthe…
Find an equation of the plane. The plane that passes through {eq}(7, 0, -1) {/eq} and contains the following line {eq}x = 5 - 2t, \; y = 1 + 3t, \; z = 8 + 4t {/eq}. Planes, Points, and Lines: A plane in three-...