Recently Active Questions

[Av]=[ic]+2[jc]-3[kc] [Bv]=2[ic]-3[jc]+5[kc] find [Av]+[Bv] ...

if two lines with direction cosines (1/3,2/3,n) and (2/7,m,6/7) are perpendicular then find m,n ...

find the direction cosine of (3,-3,0) ...

find the direction cosines of position vector P, given all three are equal ...

find the direction ratio of line OP whose direction cosines are 4/21,5/21,20/21 where P is at distance 42 from O ...

a point P is at distance 14 from origin and have direction cosines as 2/7,3/7 & 6/7 and another point Q is at distance 13 from origin and having direction cosines as 3/13, 4/13 & 12/13. find the direction ratio of PQ ...

lines of direction ratios {2,3,5} & {a,b,20} are parallel then a & b are ...

find the direction ratio of PQ given P(1,2,3) & Q(4,3,5) ...

find the angle between the lines having direction cosines as {2/7,3/7,6/7} and {12/13,4/13,3/13} ...

if two direction cosines are given as 12/13 & 3/13, find 3rd ...

find the direction cosines of a point (6,3,2) in space ...

find the distance of plane 3x+4y+12z+13=0 from a point (2,2,1) ...

find the distance of plane from origin [rv].(4[ic]-5[jc]+20[kc])=63 ...

find d such that line [rv]=4[ic]+[jc]-[kc]+λ(3[ic]-[jc]+4[kc])=0 lies on the plane [rv].([ic]+[jc]+[kc])+d=0 ...

find the eqn of plane through the line of intersection of planes [rv].(3[ic]-5[jc]-[kc])+3=0 & [rv].(2[ic]-[jc]+4[kc])+4=0 containing point (2,1,3) ...

find the eqn. of plane parallel to [rv].(3[ic]+4[jc]+[kc])+5=0 and containing the point (1,1,1) ...

find d such that line [rv]=[ic]+3[jc]-2[kc]+λ(3[ic]+[jc]-2[kc])=0 lies on the plane [rv].(2[ic]+4[jc]+5[kc])+d=0 ...

find the angle between the line [rv]=[ic]+3[jc]+5[kc]+λ([ic]+5[jc]-2[kc])=0 and plane [rv].(-2[ic]+5[jc]+[kc])+4=0 ...

find the angle between the planes [rv].(7[ic]-4[jc]+[kc])+3=0 & [rv].(4[ic]-[jc]+7[kc])+4=0 ...

eqn. of plane passing through (3,5,2) and whose normal is 3[ic]+4[jc]-7[kc] ...

find the eqn of a plane which is at distance 6 from origin and whose normal is 2[ic]-4[jc]+4[kc] ...

find the eqn of shortest distance between the lines [rv]=[ic]-[jc]+[kc]+λ([ic]+[jc]-[kc]) [rv]=3[ic]+[jc]+[kc]+μ([ic]-2[jc]+[kc]) ...

find the point of intersection of lines [rv]=[ic]+[jc]-[kc]+λ(3[ic]-[jc]) [rv]=4[ic]-[kc]+μ(2[ic]+3[kc]) ...

for what t thes lines are paralllel [rv]=4[ic]-[jc]+2[kc]+λ(3[ic]+4[jc]+[kc]) [rv]=9[ic]+8[jc]+3[kc]+μ(12[ic]+t[jc]+4[kc]) ...

find n such that these lines are coplanar [rv]=[ic]-[jc]+5[kc]+λ(3[ic]-2[jc]+[kc]) [rv]=3[ic]-[jc]+n[kc]+μ([ic]-5[jc]+7[kc]) ...

find the angle between the lines [rv]=3[ic]+5[jc]-2[kc]+λ(4[ic]-3[jc]+[kc]) [rv]=2[ic]+7[jc]-[kc]+μ(3[ic]-[jc]+4[kc]) ...

the line through (3,1,5) & (-2,3.2) passes through ...

a line through 4[ic]-[jc]+[kc] and [ic]+2[jc]-3[kc] passes through ...

a line through 3[ic]+4[jc]+7[kc] and along 5[ic]+3[jc]-2[kc] passes through ...

a line through (2,1,3) and having direction ratios 5,4 & 8 passes through the point ...