WebStep 2: Calculation of element matrices in the global coordinate system. After obtaining the direction cosines, the element matrices in the global coordinate system can be obtained. Note that the problem here is a static one, hence there is no need to compute the element mass matrices. What is required is only the stiffness matrix. WebFind the direction cosines of the line: 2x−1=−y= 2z+1 Medium Solution Verified by Toppr Given, 2x−1=−y= 2z+1 2x−1= 1−y= 2z+1 2x−1= −1y = 2z+1 Here, direction ratios are 2, …

geometry - Find the projection of the straight line $(x-1)/2 = (y …

WebApr 18, 2024 · Given: l, m, n are the direction cosines of the line x - 1 = 2 (y + 3) = 1 - z. The given equation of lines can be re-written as x − 1 1 = y + 3 1 2 = z − 1 − 1. So, by comparing the equation x − 1 1 = y + 3 1 2 = z − 1 − 1 with x − x 1 a = y − y 1 b = z − z 1 c we get. ⇒ a = 1, b = 1/2 and c = - 1. As we know, if a, b, c ... Example 1: Determine the direction cosine of a line joining the point (-4, 2, 3) with the origin. Solution: Given that, the line joins the origin (0, 0, … See more The direction cosine of the vector can be determined by dividing the corresponding coordinate of a vector by the vector length. The unit vector … See more holiday inn express gulf breeze

Direction Cosines (Definition, Formula and Examples)

WebFind the direction cosines of the line ` ( x + 2 ) /(2) = ( 2 y - 5) /( 3 ) , z = - 1 ` WebMar 22, 2024 · Example, 3 Find the direction cosines of the line passing through the two points (– 2, 4, – 5) and (1, 2, 3). P ( −2, 4, − 5) Q (1, 2, 3)So, x1 = −2, y1 = 4 , z1 = −5 & x2 = 1, y2 = 2 , z2 = 3Direction ratios = (x2 – x1), (y2 − y1), (z2 − WebEquation of line is `(x+2)/2=(2y-5)/3;z=-1` `(x+2)/2=(y-5/2)/(3/2)=(z+1)/1` Direction ratios of the line are 2, 3/2, 1. ∴Direction cosines of the line are … holiday inn express guildford