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Recent questions tagged straight line in space
+3
votes
1
answer
Find the shortest distance between the lines given by vector(r) =(8+3λiˆ− (9+16λ)jˆ + (10+7λ)kˆ
asked
Apr 3, 2019
in
Class 12
by
kratos
class-12
straight line in space
three dimensional geometry
+3
votes
1
answer
Find the shortest distance between the lines : vector r=(i+2j+3k)+λ(i-3j+2k) and vector r=(4j+5k+6k)+μ(2i+3j+k)
asked
Mar 25, 2019
in
JEE
by
kratos
isc
cbse
three-dimensional geometry
jee
icse
jee mains
class-12
straight line in space
three dimensional geometry
+3
votes
1
answer
If vector OA = vector(2i + 5j - 2k) and vector OB = vector(3i + 6j + 5k), then vector AB =
asked
Mar 24, 2019
in
JEE
by
kratos
vector algebra
applications of vector algebra
jee
vectors
jee mains
class-12
straight line in space
+2
votes
1
answer
The equation of line through (α,β,γ) and equality inclined to the axes are : (a) x - α = y - β = z - γ (b) (x - 1)/α = (y - 1)/β = (z - 1)/γ
asked
Mar 18, 2019
in
JEE
by
kratos
irodov
oscillations and wave
jee
direction cosines
bseb model set
jee mains
elastic waves
class-12
straight line in space
directions ratios
+3
votes
1
answer
Find the vector equation of the line passing through the point A (1, 2, -1) and parallel to the line 5x - 25 = 14 - 7y = 35z.
asked
Mar 15, 2019
in
JEE
by
kratos
jee
jee mains
class-12
straight line in space
three dimensional geometry
+1
vote
1
answer
Find the direction ratios and direction cosines of the line joining the points (–4, 1, 7), (2, –3, 2).
asked
Mar 9, 2019
in
JEE
by
kratos
directions ratios
jee
straight line in space
direction cosines
jee mains
class-12
fundamental concepts of three dimensional geometry
three dimensional geometry
+1
vote
1
answer
The direction ratio of a line are 2,3,7 then its direction cosines are which of the following ?
asked
Mar 9, 2019
in
JEE
by
kratos
applications of vector algebra
jee
jee mains
class-12
straight line in space
three dimensional geometry
+3
votes
1
answer
If vector a = 2i – j + k and vector b = i – 3j – 5k, then find |vector (a × b)|.
asked
Mar 7, 2019
in
Class 12
by
kratos
applications of vector algebra
class-12
bseb model set
scalar or dot products
vector
straight line in space
+2
votes
1
answer
The length of the shortest distance between the lines, vector r1 = -3i + 6j + λ(-4i + 3j + 2k) and vector r2 = -2i + 7k + µ (-4i + j + k) is
asked
Feb 28, 2019
in
Class 12
by
kratos
the plane
isc
icse
class-12
straight line in space
three dimensional geometry
+2
votes
1
answer
If the position vectors 10î + 3j, 12î - 5j and aî + 11j are collinear, find the value of a.
asked
Feb 26, 2019
in
Class 12
by
kratos
vector algebra
class-11
scalar triple product
vector
class-12
straight line in space
+3
votes
1
answer
If the equation of a line is x = ay + b, z = cy + d, then find direction ratios of the line and a point on the line.
asked
Feb 17, 2019
in
JEE
by
kratos
jee
jee mains
class-12
straight line in space
three dimensional geometry
+3
votes
1
answer
Find the angle between the lines vector r = 4i - j + λ(i + 2j - 2k) and vector r = i - j + 2k - μ(2i + 4j - 4k)
asked
Feb 13, 2019
in
JEE
by
kratos
isc
jee
straight line in space
icse
jee mains
class-12
three-dimensional geometry
+2
votes
1
answer
Find the Cartesian equation of the plane passing through the points A (0, 0, 0) and B(3, - 1, 2) and parallel to the line x-4/1=y+3/-4=z+1/7.
asked
Feb 13, 2019
in
Class 12
by
kratos
applications of vector algebra
class-12
straight line in space
cbse
+2
votes
1
answer
The shortest distance between the lines r = a + b and r = a + * c is (b, c are non-collinear)
asked
Feb 12, 2019
in
Class 12
by
kratos
class-12
cbse
straight line in space
three dimensional geometry
+1
vote
1
answer
Find the shortest distance between the lines vector r = (4i - j) + λ(i + 2j - 3k) and vector r = (i - j + 2k) + μ(2i + 4j - 5k).
asked
Feb 6, 2019
in
JEE
by
kratos
isc
cbse
jee
straight line in space
icse
jee mains
class-12
three-dimensional geometry
+3
votes
1
answer
If vector a = vector(2i - 5j + k) and vector b = vector(4i + 2j + k) then vector(a.b) = (a) 0 (b) -1 (c) 1 (d) 2
asked
Jan 31, 2019
in
JEE
by
kratos
vector algebra
cbse
jee
jee mains
class-12
straight line in space
three dimensional geometry
+1
vote
1
answer
Find the shortest distance between the lines vector r = (i + 2j +k) + λ(i - j + k) and vector r = (2i - j - k) + μ(2i + j + 2k).
asked
Jan 23, 2019
in
Class 12
by
kratos
class-12
cbse
straight line in space
three dimensional geometry
+1
vote
1
answer
Show that the line joining the points (2, 3, –4), (–3, 3, –2) is not perpendicular to the line joining the points (–1, 4, 2), (3, 5, 1).
asked
Jan 17, 2019
in
Class 12
by
kratos
three dimensional geometry
straight line in space
direction cosines
class-12
fundamental concepts of three dimensional geometry
directions ratios
+1
vote
1
answer
Find the shortest distance between the following two lines: vector r=(1+2λ)i+(1-λ)j+λk; vector r=2i+j-k+μ(3i-5j+2k).
asked
Jan 16, 2019
in
Class 12
by
kratos
cbse
class-12
straight line in space
three dimensional geometry
+2
votes
1
answer
If the equation of a line AB is x-3/1=y+2/-2=z-5/4 , find the direction ratios of a line parallel to AB
asked
Jan 15, 2019
in
Class 12
by
kratos
the plane
cbse
class-12
straight line in space
three dimensional geometry
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