Find the distance from the point to the plane.(2,2,3) , 2x+y+2z=4 相关知识点: 试题来源: 解析 d=83 Here, it is given that(2,2,3), 2x+y+2z=4 ...(1)The vector normal to the given plane 2x+y+2z=4 is n=2 i+ j+2 k ...(2)P(2,2,3) is the point on plane...
Find the distance from the point S(1,1,5) to the lineL: x=1+t, y=3-t, z=2t 答案 We see from the equations for L that L passes through P(1,3,0) parallel tov=i-j+2k. Withand,Equation (5) gives相关推荐 1Find the distance from the point S(1,1,5) to the lineL...
百度试题 结果1 题目【题目】Find the distance from the point to the line.(-1,4,3);x=10+4t,y=-3,z=4t 相关知识点: 试题来源: 解析 【解析】 d=7√3 反馈 收藏
unitsConsider the following plane line equation:, , The objective is to find the distance from to the line.Distance formula:The distance from a point to the line is,Here, is the directional cosines of the line.The distance between the point to and is a point on the line.Rewrite the line...
Distance Between a Point and a Line in Space: Consider a point {eq}(x_1,y_1,z_1) {/eq} in space and the line {eq}x= x_2+at, y= y_2+bt, z=z_2+ct. {/eq} Then the perpendicular distance between this point and the line is {eq}{\colo...
Find the distance from the point to the line. 1.(3,−1,4);x=4−t,y=3+2t,z=−5+3t2.(−1,4,3);x=10+4t,y=−3,z=4tDistance, Point, and Line in R3:Having a point Q(x0,y0,z0) and a line L:x=x1+at,y=y1+...
1. Find the distance from the point to the given plane. (1, -8, 8), 3x + 2y + 6z = 5 2. Find an equation of the plane.The plane through the origin and the points (4, -2, 9) and (7, 4, 3). Find the shortest distance, d...
百度试题 结果1 题目 Find the shortest distance from the point to . 求点与 的最短距离. 相关知识点: 试题来源: 解析 . , ,, , , ∴. 反馈 收藏
The distance from any point (x,y,z) to the point (1,0,-2) isd=√ ((x-1)^2+y^2+(z+2)^2)but if (x,y,z) lies on the plane x+2y+z=4, then z=4-x-2y and so we haved^2=f(x,y)=(x-1)^2+y^2+(6-x-2y)^2. We can minimize d by minimizing the simpler expr...
Find the distance of the point ( – 1, – 5, – 10) from the point of intersection of the liner=2-+2+λ (3+4+2) and the planer.(-+)=5 相关知识点: 试题来源: 解析 Given line:r=2-+2+λ (3+4+2)Here we have the cartesian equation of a line,(x-2)3=(y+1)4=(z...