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Murtaza Nimachwala
Dec 10, 2014
Find the angle between the lines whose direction cosines are given by the equations
3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0
3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0
Given lines are 3l + m + 5n = 0
m = - (3l + 5n) -----------(1)
and 6mn - 2nl + 5lm = 0 ----------(2)
Substitute m in equation (2) we obtain
...
Anubhav Singh
Feb 9, 2015
what are the direction ratios of a line equally inclined to the axes? How many such lines are there ?
please explain all the necessary steps in detail along with the formulas used and the diagram ?
please explain all the necessary steps in detail along with the formulas used and the diagram ?
cos α = cos β = cos ɣ or l = m = n .
l2 + m2 + n2 = 1
l2 + l2...
Haris Sherwani
Jan 14, 2015
1) Reduce the equation of the plane 3x - 4y + z = 9 to the intercept form and hence find the intercepts made by the plane with the coordinate axes.
2) Write the equation of the plane whose intercepts on the coordinate axes are 2,-4,5 respectively.
2) Write the equation of the plane whose intercepts on the coordinate axes are 2,-4,5 respectively.
Equation of the plane 3x - 4y + z = 9 [ dividing 9 on both sides ]
⇒ (3x / 9) + (-4y / 9) +( z / 9) = 1
⇒ (x / 3) + (y / (-9 / 4)) +( z / 9) = 1
Shakti Gayatri
Jan 20, 2015
The statement is true or false , answer with explaination
If two lines are perpendicular to a third line , then the direction ratios of the two lines are proportional.
If two lines are perpendicular to a third line , then the direction ratios of the two lines are proportional.
The direction ratios are proportional only if the two lines are on the same plane otherwise they are not proportional.
Shakti Gayatri
Feb 9, 2015
Find the vector and cartesian equations of the planes, that passes through the point (1,4,0) and the normal vector to the plane is i-2j+k
a = i + 4j and normal to the vector n = i - 2j + k
we know that cartesian equations of the plane tha...
Shakti Gayatri
Jan 20, 2015
If l,m,n be three real numbers proportional to the direction cosines of a line L.then l²+m²+n²=1.
(answer if the statement is true or false with explaination)
(answer if the statement is true or false with explaination)
M N Ramdas M.N.Ramdas
Jan 12, 2015
Find the equation of circle passing through (0, 0) and having the radius 4 units and whose center is lying on the line 2x + 3y -12 = 0.
https://www.learnnext.com/nganswers/Find-the-equation-of-a-circle-question-88654.htm?topicWise=false
Harsh Aryan
May 26, 2015
show that the line through the point(4,7,8) and (2,3,4) is parallel to the line through the point (-1,-2,1) and (1,2,5)
Shakti Gayatri
Jan 25, 2015
Prove the measure of the angle between the diagonal of a and the diagonal of a cube , drawn from a vertex is cos^-1√2/√3
Murtaza Nimachwala
Dec 10, 2014
Find the angle between the lines whose direction cosines are given by the equations
3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0
3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0
Given lines are 3l + m + 5n = 0
m = - (3l + 5n) -----------(1)
and 6mn - 2nl + 5lm = 0 ----------(2)
Substitute m in equation (2) we obtain
...
Anubhav Singh
Feb 9, 2015
what are the direction ratios of a line equally inclined to the axes? How many such lines are there ?
please explain all the necessary steps in detail along with the formulas used and the diagram ?
please explain all the necessary steps in detail along with the formulas used and the diagram ?
cos α = cos β = cos ɣ or l = m = n .
l2 + m2 + n2 = 1
l2 + l2...
Haris Sherwani
Jan 14, 2015
1) Reduce the equation of the plane 3x - 4y + z = 9 to the intercept form and hence find the intercepts made by the plane with the coordinate axes.
2) Write the equation of the plane whose intercepts on the coordinate axes are 2,-4,5 respectively.
2) Write the equation of the plane whose intercepts on the coordinate axes are 2,-4,5 respectively.
Equation of the plane 3x - 4y + z = 9 [ dividing 9 on both sides ]
⇒ (3x / 9) + (-4y / 9) +( z / 9) = 1
⇒ (x / 3) + (y / (-9 / 4)) +( z / 9) = 1
Shakti Gayatri
Jan 20, 2015
The statement is true or false , answer with explaination
If two lines are perpendicular to a third line , then the direction ratios of the two lines are proportional.
If two lines are perpendicular to a third line , then the direction ratios of the two lines are proportional.
The direction ratios are proportional only if the two lines are on the same plane otherwise they are not proportional.
Shakti Gayatri
Feb 9, 2015
Find the vector and cartesian equations of the planes, that passes through the point (1,4,0) and the normal vector to the plane is i-2j+k
a = i + 4j and normal to the vector n = i - 2j + k
we know that cartesian equations of the plane tha...
Shakti Gayatri
Jan 20, 2015
If l,m,n be three real numbers proportional to the direction cosines of a line L.then l²+m²+n²=1.
(answer if the statement is true or false with explaination)
(answer if the statement is true or false with explaination)
M N Ramdas M.N.Ramdas
Jan 12, 2015
Find the equation of circle passing through (0, 0) and having the radius 4 units and whose center is lying on the line 2x + 3y -12 = 0.
https://www.learnnext.com/nganswers/Find-the-equation-of-a-circle-question-88654.htm?topicWise=false
Harsh Aryan
May 26, 2015
show that the line through the point(4,7,8) and (2,3,4) is parallel to the line through the point (-1,-2,1) and (1,2,5)
Shakti Gayatri
Jan 25, 2015