The line l1 given by x/5+y/b 1
Splet25. dec. 2024 · Let L1 and L2 be lines whose parametric equations are L1:x=4t,y=1-2t,z=2+2t,L2:x=1+t,y=1-t, z=1-4t(i) Show that the lines L1 and L2 intersect at the point (2... Spletc)The plane through the point (5; 2;7) and contains the line of an equation x 11 = y 2 5 = 3z 1. Solution. Let the equation of the plane be ax+ by+ cz= d. Since the slope of the line is (1;5;1 3), we have (a;b;c) (1;5;1 3) = 0: (1) Next, since (5; 12;7) and (11;2; 3) are both on the plane, thus 5a 2b+ 7c= 11a+ 2b+ 1 3 c: (2) (1) 20 (2) gives ...
The line l1 given by x/5+y/b 1
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Splet1. Find the intersection of the line x = 3t, y = 1+2t, z = 2 −t and the plane 2x +3y −z = 4. 2. Find the intersection of the two lines x = 1 + 2t1, y = 3t1, z = 5t1 and x = 6 − t2, y = 2 + 4t2, z = 3 +7t2 (or explain why they don’t intersect). 3. Find the intersection of the line x = 2t, y = 3t, z = −2t and the sphere x2 +y2 +z2 = 16 ... SpletQuestion: The line given by parametric equations L1: x= 1+2t:y= -1+5t; z = 2+3t is parallel to the line : Answers: A. L2: X = 1+3t: y = 2+2t: z = -1 +3t B. L3: x=t: y = -1+5t; z = 4 +3t c. -2:x=-1 + 4t : y=-1+10t : 2--3+6t D. -2:X = 5+t: y=-1-t : 2 = 4+3t Show transcribed image text Expert Answer 100% (1 rating) Transcribed image text:
Splet01. maj 2024 · The point P with x coordinate 5 lies on l 1 The straight line l 2 is perpendicular to l 1 and passes through P. (a) Find an equation for l 2, writing your answer in the form ax + by + c = 0 where a, b and c are integers. The lines l 1 and l 2 cut the x-axis at the points S and T respectively, as shown in Figure 1. (b) Calculate the area of ... SpletA line L3 having direction ratios 1,-1,-2, intersects L1 and L2 at the points P and Q respectively. Then the length of line segment P Q is Q. Consider the lines L 1 and L 2 …
SpletThe line L given by x/5 + y/b = 1 passes through the point (13, 32). The line K is parallel to L and has the equation x/c + y/3 = 1. Then, the distance between L and K is Byju's Answer … SpletThe line L, given by x/5 + y/b = 1 , passes through the point (13,32) . The line K is parallel to L and has the equation x/c + y/3 = 1 . Then, the distance between L and K is: Class 11 >> …
SpletDetermine an equation of the plane containing the lines $\frac{x-1}{2}=\frac{y+1}{-1}=\frac{z-5}{6}$; $r=\lt1,-1,5\gt+t\lt1,1,-3\gt$. I calculated the cross product between the …
SpletPRACTICE PROBLEMS: For problems 1-4, compute parametric equations of the line which satises the given conditions. 1.The line which passes through the point (1;0; 1) and is parallel to !v = h1; 2;0i. x = 1 + t;y = 2t;z = 1 2.The line which passes through points A(3; 6;6) and B(2;0;7). x = 3 t;y = 6 + 6t;z = 6 + t 3.The line which passes through … dynamic meaning in farsiSpletThe lines DO intersect at (1,-1,5). Plug in x=1,y=-1 and z=5 into the first line, and you get 0=0=0. – Ameet Sharma Feb 12, 2024 at 6:09 Add a comment 3 Answers Sorted by: 22 The first line is given by L 1: x − 1 2 = y + 1 − 1 = z − 5 6 and the symmetric form of the other line is L 2: x − 1 1 = y + 1 1 = z − 5 − 3. crystal\u0027s yjSplet28. dec. 2024 · The line L is given by x/5 + y/b = 1 passes through the point (13, 32). The line K is parallel to L and has the equation. The line L is given by x 5 + y b = 1 x 5 + y b = 1 … crystal\\u0027s yjSplet1. Determine whether the two given lines l1 and l2 are parallel, skew, or intersecting. If they intersect, find the point of intersection. l1 : x = t y = 1 + 2t z = 2 + 3t and l2 : x = 3 − 4s y = … dynamic mayor\u0027s management reportSpletLearning Objectives. 2.5.1 Write the vector, parametric, and symmetric equations of a line through a given point in a given direction, and a line through two given points.; 2.5.2 Find the distance from a point to a given line.; 2.5.3 Write the vector and scalar equations of a plane through a given point with a given normal.; 2.5.4 Find the distance from a point to a … crystal\u0027s ygSplet30. mar. 2024 · Write its vector form.Cartesian equation : (𝑥 − 5)/3 = (𝑦 + 4)/7 = (𝑧 − 6)/2 (𝑥 − 5)/3 = (𝑦 − (−4))/7 = (𝑧 − 6)/2 Equation of a line in Cartesian form is given by (𝑥 − 𝑥1)/𝑎 = (𝑦 − 𝑦1)/𝑏 = (𝑧 − … dynamic maturation modelSpletMath Advanced Math The diagram shows the straight line L1, which intersects the r-axis at A (-8,0) and the y-axis at B (0, 4). B (a) Write down the coordinates of M, the midpoint of line segment AB. (b) Calculate the gradient of L1. The line L2 is perpendicular to L1 and passes through the point P (1, 2). (c) Find the equation of L2. crystal\u0027s yf