x = -2t Given: line ₁ = 1798 = 2 - 8 and l₂ = y = 2 + 2t 3 2 z = 6 + 2t 1. If the given lines intersect at a point, compute the acute angle between ₁ and l₂. 2. Find the equation of a plane in point-normal form containing ₁ and the point P(-1,0, 7). X 1 =

Q: Show that one of the lines givenby 6x² - xy - 12y² = 0 coincides with one of %3D the lines givenby…

A:

Q: Find the equation of a line passing through (4, -5) when the intercepts are numerically equal but of…

A: Note:-Since you asked multiple solutions, according to our policy we can answer only first question…

Q: Determine the angle between the two lines: 1₁: 7 = (1,0) + t(0, —2), t ¤ R x+2 y-3 and 1₂: *+² = −³.…

A: Given

Q: The parametric equations for a line L₁ are as follows: x = −2+3t y = −4+6t z=-5-9t Let L2 be the…

A: The parametric equations for a line through the point (x0,y0,z0) and parallel to the direction…

Q: Find the equation of the line in slope intercept form parallel to 5æ + 6y = – 2 and goes through the…

A: NOTE: Refresh your page if you can't see any equations. . solve for y here coefficient of x is…

Q: Find a rectangular equation for the curve. π π x= 5 sect, y = 3 tant for t in(-22) Choose the…

A:

Q: Find the equation of the line passing through the point 4(2,3) and making en angle of 45° with the…

A: The equation of a line passing through A and making an angle of 45\degree with the x-axis isx-2cos…

Q: and L Determine the angle that the line with equation = (4, -5), te R, makes with the x-axis and…

A: To determine the angle that the line with equation,r=t(4,−5),where t∈R makes with the x-axis and…

Q: A. Direction: In the given figure, draw tangent lines in each points A,B and C. y ==(x+4)3 + 4

A:

Q: 1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with…

A:

Q: For the lines: L1: x=2-4t, y= 5t, z=1+2t L2: x=-7-k, y=2+3k, z= 5+k Find the parametric equations of…

A: The line passing through the point (a,b,c) and parallel to z axis is  (a,b,c)+t(0,0,1)  That is ,…

Q: Q3 Check the symmetry and graph the curve in polar form if 0 = 0 and equal 1/6 to 1/2 at increments…

A:

Q: 1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with…

A: As per the guidelines I have solved first question.

Q: Find the equation of the bisectiors of the obtuse angle between the lines x+y-5=0 and x-7y+7=0

A: Given that, x+y-5=0   .................(1) x-7y+7=0   ..............(2) equation (1) can be written…

Q: Find the obtuse angle formed by the lines x+3y+3=0 and x-y-2=0.

A: Topic - angle between lines We will take absolute value of angle as sign depends Up on which line we…

Q: 6. Determine the horizontal and vertical axis Intercepts:r = 51 - 140cos 0. 51 -1 0, cos CoS 51 H:…

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-2,-2)…

A: Solution is given below:

Q: The curve y r? - 6z +7 is symmetric bout O a. Y axis O b.X axis and Origin O cC. Y axis and Origin O…

A:

Q: Find the distance from the point (4, 9) to the line y = 2x.

A:

Q: The equation of line p is 2x+3y = 12. The line cuts the x-axis at point A and the y-axis at point B.…

A: Given:-  The equation of line p is 2x+3y = 12. The line cuts the x-axis at point A and the y-axis at…

Q: 1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with…

A: As per the guidelines I am answering only one question at a time. #1] Lets say slope of the other…

Q: 1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with…

A: As per the guidelines I have solved first problem.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-5, 0,…

A:

Q: 3. Find the acute angle between the lines. x - 1 3 - y z+5 (a) l1: 3 (b) l1: r = 7 – 2t, y = 4+3t, z…

A:

Q: II. Fill in the missing entry in each row: Equation of line m Point P Point (P) X = 0 (x,y) 1.) Y =…

A: II) 1, Given line equation, X=0 Image of P(x,y) w.r.t line X=0 : line equation ⊥to X=0: Y=C Let…