let L4:x < = -+t, y=+t, z=-t STRAIGHT IN SPACE AND LET'S HAVE A LEVEL L2:x = 2 + 2t , y= 3 – 2t, z =1+t M:x - y +z = 2 1-Find the magnitude of the angle between the rectangle L2 and level M 2-What is the relationship between the lines L1 and L2?

Q: What is the horizontal of line through the point (4,-6)?

A: Solution: In the XY coordinate system, the point notation is always written as (x,y) And, x…

Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t ,y=-2t+1 ,z=t is

A: We are supposed to find the distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t…

Q: y, = 5x + 3 Y, = -5x – 2 4 =-r-2 Are the lines of any of these equations parallel to one another?…

A:

Q: What is the angle between the lines 무 x-2 y+4_ :-3 x-2 y-5 _ : -3 and 1 1 2 1

A: To find the angle between any two lines of the form x-x1a1=y-y1b1=z-z1c1 and x-x2a2=y-y2b2=z-z2c2,…

Q: What is the image of the point (4, -4) after the reflection over the line y = x-2?

A: we have to find the image under given line

Q: What is the distance between the line with Cartesian equation x-6 = y-4 = z and the line with…

A:

Q: nterseeting Lines Finad the plane determined by the Loi Xi=l-2t, , J="l-st,, 2= -2+t, L2: X2=-3+t2,…

A:

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: What is the distance between the line with Cartesian equation x-7 = y-6 = z-12 and the line with…

A: The direction ratios of the line x-7=y-6=z-12 are b1=1,1,1 and that of x-10=y-11=3z-19 are also…

Q: 10) Write the equation of the line through (8, 45) that is perpendicular to y = 7.

A:

Q: i 6i + 2j+ 2k + 2(i- 2j+2k) Find the shortest distance between lines -4i -i + 4(3i - 2)- 2k) and

A: The given lines are as follows- r→=6i^+2j^+λi^-2j^+2k^          ........(1)r→=-4i^-k^+μ3i^-2j^-2k^…

Q: Find equations of a line perpendicular to the lines x = y = z and x = 2y = 3z, passing through the…

A:

Q: What is the distance between the line with Cartesian equation x-5 = y-9 = z-3 and the line with…

A: The given equations of lines are: x-51=y-91=z-31 and x-81=y-131=3z-41

Q: The length of the line segment joining the two points of intersection is 3 – x = y = 7+1 With the…

A:

Q: What is the distance between the line with Cartesian equation x-5=y-3 = z and the line with…

A: Given two lines arex-51=y-31=z-01andx-41=y-31=z-11

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: 4. Perpendicular to x - 3y = 2 and passes thru (-3,5)

A: given that a line is perpendicular to the line x-3y=2 and passes through the point (-3,5). we need…