The lines x ay-1 z-2 and x 3y-2
Splet10. sep. 2024 · For exercises 9 and 10, line L is given. a. Find a point P that belongs to the line and a direction vector ⇀ v of the line. Express ⇀ v in component form. b. Find the … Splet16. sep. 2024 · This page titled 4.6: Parametric Lines is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Ken Kuttler ( Lyryx) via source content that …
The lines x ay-1 z-2 and x 3y-2
Did you know?
SpletAny line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 −2 3 2 0 x y 0 - 2 3 2 0 Graph the line using the slope and the y-intercept, or the points. Slope: 1 3 1 3 y-intercept: (0,−2 3) ( 0, - 2 3) x y 0 −2 3 2 0 x y 0 - 2 3 2 0 Splet23. jun. 2024 · No such line can exist because the point (1,2,-1) does not lie on the plane 2x-3y+4z=8, therefore, the line cannot lie on the plane. An additional reason why no such line …
Spletyou almost solved it. you have a mistake with the point on the line. equating z to zero and solving a 2x2 linear system will yield the point on the line P 0 = ( 22 7, 3 7, 0) T. Hence, the … The lines x=ay–1 =z–2 and x= 3y–2 =bz–2, (ab ≠0) are coplanar, if A a =2,b=2 B a =2,b=3 C a =1,b∈R−{0} D b=1,a∈R−{0} Solution The correct option is D b= 1,a ∈R−{0} Lines are x =ay–1 =z–2 ∴ x 1 = y− 1 a 1 a = z−2 1 ...(i) and x=3y–2 =bz–2 ∴ x 1 = y− 2 3 1 3 = z− 2 b 1 b ...(ii) Since, lines are co-planar.
SpletRewrite in slope-intercept form. Tap for more steps... y = 1 3x y = 1 3 x. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 1 3 1 3. y-intercept: (0,0) ( 0, 0) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. SpletThe lines x = ay − 1 = z − 2 and x = 3y − 2 = bz − 2, (ab ≠ 0) are coplanar, if : A b = 1, a ∈ R − {0} B a = 1, b ∈ R − {0} C a = 2, b = 2 D a = 2, b = 3 Check Answer 4 JEE Main 2024 (Online) …
Splet04. avg. 2024 · asked Aug 4, 2024 in Mathematics by Gargi01 (50.9k points) The lines x = ay – 1 = z – 2 and x = 3y – 2 = bz – 2, (ab ≠ 0) are coplanar, if : (1) b = 1, a ∈ R - {0} (2) a = …
Splet30. mar. 2024 · Example 10 Find the angle between the pair of lines (𝑥 + 3)/3 = (𝑦 − 1)/5 = (𝑧 + 3)/4 and (𝑥 + 1)/1 = (𝑦 − 4)/1 = (𝑧 − 5)/2Angle between the pair of lines (𝑥 − 𝑥1)/𝑎1 = (𝑦 − 𝑦1)/𝑏1 = (𝑧 − … brewery\u0027s wrSpletx = 3,y = 2,z = −5 Explanation: We have the equation: ⎩⎪⎨⎪⎧ x +2y+ z = 2 2x+ 3y +3z = −3 2x +3y+ 2z = 2 ... How do you solve using gaussian elimination or gauss-jordan … brewery\\u0027s wwSpletQ: A- Find all points on the elliptic curve y² = x³ + x + 6 over Z7, choose one of these points as P to… A: To find all points on the elliptic curve, y2 = x3 + x + 6 over Z7 , we can substitute each value of… Q: Describe and sketch the following surfaces z = f (x, y): (a) * (c) 2= /1-x² - y² z = 6 - 2x - 3y (b)… country suites rome gaSplet31. mar. 2024 · The equation of a line, whose segment between the lines 5x - y + 4 = 0 and 3x + 4y - 4 = 0 in bisected at the point (1, 5) is: Q4. The distance of the point P (4, 1) from … brewery\u0027s wxSplet11. apr. 2024 · Answer: (3) b=1,a∈ R -{0} Explanation: Given : x=ay-1=z-2,and x=3y-2=bz-2 lies in the same plane. = = =(a1 bar - a2 bar).(b1 bar -b2 bar)=0 country summer 2022 ticketsSpletThe lines x = ay – 1 = z – 2 and x =3y – 2 = bz – 2, (ab 0) z are coplanar, if: (1)b= 1, a R – {0} (2) a = 2, b = 3 (3) a = 2, b = 2 (4) a= 1, b R – {0} Sol. (1) 11 == xz y aa 2 33 + == xz y /b x (-1, 0, 1) (-2, 0, 0) x 3 3Ö i j k++Ö b lines are Co-planar 1 … brewery\u0027s wtSpletIf the lines (x - 1/2)= (y/- 1)= (z/2) and x-y+z-2=0=λ x+3z+5 are coplanar, then the value of 7λ is equal to Q. If the lines 2x−1 = −1y = 2z and x− y + z − 2 = 0 = λx + 3z + 5 are coplanar, … brewery\\u0027s wt