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Install NowMurtaza 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

Sol:

Given lines are 3l + m + 5n = 0

m = - (3l + 5n) -----------(1)

and 6mn - 2nl + 5lm = 0 ----------(2)

Substitute m in equation (2) we obtain

...

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 ?

Answer.

If a line makes angles Î±,Î²,É£ with the axes we have Î± = Î² = É£ .

cos Î± = cos Î² = cos É£ or l = m = n .

l2 + m2 + n2 = 1

l2 + l2...

cos Î± = cos Î² = cos É£ 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.

Sol:1)

Equation of the plane 3x - 4y + z = 9 [ dividing 9 on both sides ]

â‡’ (3x / 9) + (-4y / 9) +( z / 9) = 1

â‡’ (x / 3) + (y / (-9 / 4)) +( z / 9) = 1

Equation of the plane 3x - 4y + z = 9 [ dividing 9 on both sides ]

â‡’ (3x / 9) + (-4y / 9) +( z / 9) = 1

â‡’ (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.

True.

The direction ratios are proportional only if the two lines are on the same plane otherwise they are not 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

Given cartesian equations of the plane, that passes through the point (1,4,0) .

a = i + 4j and normal to the vector n = i - 2j + k

we know that cartesian equations of the plane tha...

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 lÂ²+mÂ²+nÂ²=1.

(answer if the statement is true or false with explaination)

(answer if the statement is true or false with explaination)

This answer has an image. Please click on the question to read more.

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.

Pl use the link below to find the solution:

https://www.learnnext.com/nganswers/Find-the-equation-of-a-circle-question-88654.htm?topicWise=false

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)

drs are in propotion

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^-1âˆš2/âˆš3

Your question is incorrect.Please recheck and repost the question with proper data.

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

Sol:

Given lines are 3l + m + 5n = 0

m = - (3l + 5n) -----------(1)

and 6mn - 2nl + 5lm = 0 ----------(2)

Substitute m in equation (2) we obtain

...

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 ?

Answer.

If a line makes angles Î±,Î²,É£ with the axes we have Î± = Î² = É£ .

cos Î± = cos Î² = cos É£ or l = m = n .

l2 + m2 + n2 = 1

l2 + l2...

cos Î± = cos Î² = cos É£ 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.

Sol:1)

Equation of the plane 3x - 4y + z = 9 [ dividing 9 on both sides ]

â‡’ (3x / 9) + (-4y / 9) +( z / 9) = 1

â‡’ (x / 3) + (y / (-9 / 4)) +( z / 9) = 1

Equation of the plane 3x - 4y + z = 9 [ dividing 9 on both sides ]

â‡’ (3x / 9) + (-4y / 9) +( z / 9) = 1

â‡’ (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.

True.

The direction ratios are proportional only if the two lines are on the same plane otherwise they are not 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

Given cartesian equations of the plane, that passes through the point (1,4,0) .

a = i + 4j and normal to the vector n = i - 2j + k

we know that cartesian equations of the plane tha...

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 lÂ²+mÂ²+nÂ²=1.

(answer if the statement is true or false with explaination)

(answer if the statement is true or false with explaination)

This answer has an image. Please click on the question to read more.

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.

Pl use the link below to find the solution:

https://www.learnnext.com/nganswers/Find-the-equation-of-a-circle-question-88654.htm?topicWise=false

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)

drs are in propotion

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^-1âˆš2/âˆš3

Your question is incorrect.Please recheck and repost the question with proper data.