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 ...
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
The vector equation of a line is r = a + tb.In this equation, “a” represents the vector position of some point that lies on the line, “b” represents a vector that gives the direction of the line, “r” represents the vector of any general point on the line and “t” represent...
vectorequationlinecoordinatespassesparallel 7C Vector Equations of Lines nQ1. Find a vector equation (in the form r = p + td, where t ) of the line through (a) (–1, 4) and (3, –1) (b) (0, 3) and (2, –5) (c) (2, 5) and (4, 9) (d) ( ) and (2, 1). nQ2...
Find an equation of the straight line passing through the point with position vector a which is parallel to the vector b, giving your answer in the form r* b= c, where c is a vector to be found for the following pairs a and b: a=4 i-2 j+ k, b=- i-2 j+3 k 相关知识点:...
4. Relative to a fixed origin O, the point A has position vector i-3j+2k and the point B has position vector -2i+2j-k. The points A and B lie on a straight line /.(a)Find AB.(2)(b) Find a vector equation of l.(2)The point C has position vector 2i+ pj-4k with r...
<p>To find the vector equation of a line passing through a given point and parallel to another line defined by two points, we can follow these steps:</p><p><strong>Step 1: Identify the given point and its position vector</strong> The point through which
An algorithm for the computation of constants in an equation determining the smoothest digital representation of a straight line with slope 伪 = arctan ( P I P T is presented. The equation is based upon structural properties. A fast hardware generator, given the constants, is proposed. The ...
The vector equation of the line passing through ˆi−ˆj+3ˆk and parallel to 3ˆi+2ˆj−5ˆk is A¯r=ˆi−ˆj+3ˆk+λ(3ˆi+2ˆj−5ˆk) B¯r=3ˆi+2ˆj−5ˆk+λ(ˆi−ˆj+3ˆk) C¯r=−ˆi+ˆj−3ˆk+λ(−3...
2.vector- a straight line segment whose length is magnitude and whose orientation in space is direction straight line- a line traced by a point traveling in a constant direction; a line of zero curvature; "the shortest distance between two points is a straight line" ...