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Find the angle between the pair of lines...

Find the angle between the pair of lines
` (x -1 )/(4) = ( y - 3)/(1) = (z) /(8) ` and `(x - 2)/(2) = ( y + 1) /(2) = (z - 4)/(1). `

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The correct Answer is:
` cos ^( -1) (( 2) /(3)) `
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Find the angle between the following pair of lines (x-2)/(2) = (y - 1)/(7) = (z + 3)/(-3) and (x -2)/(-1) = (2y-8)/(4) = (z+5)/(4) and check whether the lines are parallel or perpendicular .

Find the angle between the following pair of lines , (i) (x - 2)/(2) = (y + 3)/(5) = (z + 3)/(-3) and (x + 2)/(-1) = (y - 4)/(8) = (z - 5 )/(4) (ii) (x)/(2) = (y)/(2) = (z)/(1) and (x -5)/(4) = (y - 2)/(1) = (z -3)/(8) .

Find the angle between the pair of lines (x-1)/2=(y-3)/4=(z+2)/6 and (x+1)/1=(y-2)/1=(z-3)/4

Find the acute angle between the lines (x-1)/(1)= (y-2)/(-1) =(z-3)/(2)and ( x-1)/(2) = (y-1)/(1) = (z-3)/(1)

Find the angles between the pair of lines given by x/2=y/2=z/1, (x-5)/4=(y-2)/1=(z-3)/8

Find the S.D. between the lines : (i) (x)/(2) = (y)/(-3) = (z)/(1) and (x -2)/(3) = (y - 1)/(-5) = (z + 4)/(2) (ii) (x -1)/(2) = (y - 2)/(3) = (z - 3)/(2) and (x + 1)/(3) = (y - 1)/(2) = (z - 1)/(5) (iii) (x + 1)/(7) = (y + 1)/(-6) = (z + 1)/(1) and (x -3)/(1) = (y -5)/(-2) = (z - 7)/(1) (iv) (x - 3)/(3) = (y - 8)/(-1) = (z-3)/(1) and (x + 3)/(-3) = (y +7)/(2) = (z -6)/(4) .

Find the distance between the parallel lines (x)/(2) =(y)/(-1) =(z)/(2) and (x-1)/(2) = (y-1)/(-1) = (z-3)/(2) .

(i) Find the equations of the straight line passing through the point (2,3,-1) and is perpendicular to the lines : ( x-2)/(2) = (y + 1)/(1) = (z - 3)/(-3) and (x - 3)/(1) = (y + 2)/(1) = (z - 1)/(1) . (ii) Find the equation of the line which intersects the lines : (x + 2)/(1) = (y - 3)/(2) = (z + 1)/(4) and (x - 1)/(2) = (y - 2)/(3) = (z - 3)/(4) Perpendicular and passes through the point (1,1,1) .

Find the angle between the pair of lines (x+3)/(3)=(y-1)/(5)=(z+3)/(4)(x+1)/(1)=(y-4)/(1)=(z-5)/(2)

NAVNEET PUBLICATION - MAHARASHTRA BOARD-LINE-examples for practice
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