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 the points A(4, 4, -7) and B(2, -1, 6), we will follow these steps:Step 1: Identify the Points We have two points: - Point A: \( A(4, 4, -7) \) - Point B: \( B(2, -1, 6) \)<...
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: 4 x + 3 y - 2 z + 7 = 0 and x - 2 y + 5 z - 1 = 0. Find the vector equation for the line of intersection of the planes 3x - 3y - z = 2 and 2z = -2. ...
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 a vector equation of the line defined by: x=8t+4, y=-6t+8 and z=-t-9. Use t \in R as your parameter. 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-...
15Findtheparametricequationsforthelinethroughthe…
:Find the equation of each of these lines in vector form.(1)Through (2,4_.}-1) in the direction($$ \frac { 3 } { 6 } $$ (2) Through (1,0,-1) in the direction (3).$$ r=(^{2})+n(\frac{3}{4}) \overrightarrow{r}=(o^{1}_{-1})+ \lambda(o) $$(3)Through...
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.$$ ( i - 2 j ) = - 2 $$ ...