Also, find the vector equation of the line through the point A(−1,2,3) and parallel to the given line. View Solution Find the equation of the line parallel to line x−34=y+1−1=z−75 and passing through the point (2,3,−2). View Solution (i) Find the vector and cart...
To find the vector equation of the line through points A(3, 4, -7) and B(1, -1, 6), we can follow these steps:Step 1: Identify the position vectors of points A and B The position vector of point A is: \( \vec{A} = 3\hat{i} + 4\
Since, the line is perpendicular to plane, therefore it is parallel to it's normal vector.If a point on a line a and a vector parallel to it q is known, then the equation of line is r=a+λ q.Hence, the equation of the required line, passing through point 2 i+ j+4 k and ...
Answer to: Find the vector equation of the line through the point (4,8,8) parallel to the vector [3,4,8]. By signing up, you'll get thousands of...
Find the vector equation of the line intersection of the following two planes: 4x + 3y - 2z + 7 = 0 and x - 2y + 5z - 1 = 0. Find the vector equation for the line of intersection of the planes 5x + 2y - 2z = 4 and 5x + 2z = 5. Find the vector...
The required line passes through the origin. Therefore, its position vector is given by,The direction ratios of the line through origin and (5,-2,3) are (5-0)=5,(-2-0)=-2,(3-0)=3 The line is parallel to the vector given by the equation,The equation of the line in vector for...
Answer to: Find the vector equation for the line of intersection of the planes x+4y-4z=-5 \enspace and \enspace x+5z=-2 By signing up, you'll get...
vector, parametric, symmetric equations of line in R3 and cross product equation. The Attempt at a Solution I obtained the direction vector for the line (L3) that intersects L1 and L2. It is [1,2,2]. And I let the point of intersection between L3 and L1 be: [x1,y1,z1]=[4,8-...
百度试题 结果1 题目(a)Find a vector equation of the straight line AB.(2) 相关知识点: 试题来源: 解析 AB =-2i-3j-k 1 -2 -2 r= 3 + -3 -1 or r- 3 =0 2 反馈 收藏
To find the vector equation of the line perpendicular to the given lines and passing through the point (2, 1, 2), we will follow these steps:Step 1: Identify the direction vectors of the given linesThe first line is give