Vector equations ares used to represent the equation of a line or a plane with the help of the variables x, y, z. The vector equation defines the placement of the line or a plane in the three-dimensional framework. The vector equation of a line is r = a + λb, and the vector ...
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, ...
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
To find the vector equation of the plane and its Cartesian form, we can follow these steps:Step 1: Identify the normal vector and distance from the origin The normal vector \( \mathbf{n} \) is given as \( 2 \hat{i} - 3 \hat{j}
题目【题目】Find the vector equation of the plane which go es through the point (0,1,6) and is parallel to t he plane r.$$ ( i - 2 j ) = 3 . $$ 相关知识点: 试题来源: 解析 【解析】 r.$$ ( i - 2 j ) = - 2 $$ ...
第二步,平面经过点(1,-2,5),所以这个点满足上述表达式,代入其中 2×1-4×(-2)-5=d,得到d=5 结论The plane q has equation 2x-4y-z=5 关于面和直线以及面和面的关系,请关注公众号留意 发布于 2020-10-05 20:54 IB课程 alevel IB Diploma Programme 赞同1添加评论 分享喜欢收...
Equation of a Plane:For a plane containing the point {eq}\left( {{x_0},{y_0},{z_0}} \right) {/eq} and having a normal vector {eq}\overrightarrow N = \left\langle {A,B,C} \right\rangle {/eq}, its equation is given by {eq}A\...
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 ...
Not only does every plane have an equation in the form of Eqs. (5.10) and (5.11), but every equation fitting one of those forms, as long as n is not the zero vector, has a plane as its solution set. Sometimes it is useful to replace the short vector forms of the equation of a...
{eq}\vec x = \begin{bmatrix}3 \\2 \\4 \end{bmatrix} + t_1\begin{bmatrix}1 \\-1 \\2 \end{bmatrix}+t_2\begin{bmatrix}2 \\0 \\3 \end{bmatrix} {/eq} What is the scalar equation of this plane? Question: A plane has the vector equation {eq}\vec x =...