Step by step video, text & image solution for Find the vector equations of the line passing through the point with position vector (2hat(i) +hat(j) -5hat(k)) and parallel to the vector (hat(i) +3hat(j) -hat(k)) .Deduce the Cartesian equations of the line . by Maths experts ...
Find the vector equations of the lines. (b) find the vector equation of the line passing through the point A (1,2, - 1) and parallel to the line : 5 x - 25 = 14 - 7y = 35 z. View Solution Find the vector equation of the line passing through the point A(1, 2, –1)...
Lines and planes both exist in three-dimensional spaces calculated using vector equations. Explore several examples of how these two concepts are represented and calculated mathematically using vectors. Related to this QuestionFind the vect...
Find the vector and point that were used to define the line given by the system of equations: x=5,\ \ y=t-4,\ \ z=-2-t Find a vector equation and symmetric equations for the line that passes through the points (- 8, 2, 7) and (5, - 2, 4). Supp...
such as n=(1,3,1). So r_0= i+6 k, and we can take v= i+3 j+ k. Then a vector equation is r=( i+6 k)+t( i+3 j+ k)=(1+t) i+3t j+(6+t) k and parametric equations are x=1+t, y=3t, z=6+t反馈 收藏 ...
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...
Homework Statement Find the vector, parametric and symmetric equations of a line that intersect both line 1 and line 2 at 90°. L1: x = 4 + 2t y...
What is the Process of Writing Equations of Lines? For writing equations of lines, first note down the known information about it. Usually, some information like slope, point(s) on it, its intercepts, the angle made by the line with x-axis, etc will be given in the problems. Then we...
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-(;) rWhen the lines intersect, the position vector is the same for each of them. r=(x)=(2/3)+λ(1/2)=(6/1)+μ(1/3) This gives two simultaneous equations for λ and μ. 2+λ=6+μ 3+2λ=1-3μ Solvi gthesegivesλ=2andμ=-2. Substituting in either equation gives 反馈...