MEDIUM
JEE Advanced
IMPORTANT
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The direction cosines of the line joining (1,-1,1) and (-1,1,1) are

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Important Questions on Angle Between Two Lines

MEDIUM
JEE Advanced
IMPORTANT
VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 6 - Angle Between Two Lines>EXERCISE>Q 7
If α, β, γ are the angles which a half ray makes with the positive directions of the axes, then sin2α+sin2β+sin2γ=
MEDIUM
JEE Advanced
IMPORTANT
VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 6 - Angle Between Two Lines>EXERCISE>Q 8
The direction cosines of the ray from (0, 0, 0) to (2, -3, 6) are
EASY
JEE Advanced
IMPORTANT
VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 6 - Angle Between Two Lines>EXERCISE>Q 9
Two lines with direction cosines l1, m1, n1 and l2, m2, n2 are at right angles if
MEDIUM
JEE Advanced
IMPORTANT
VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 6 - Angle Between Two Lines>EXERCISE>Q 10
The projections of the segment PQ on the coordinate axes are -9, 12, -8, respectively. The direction cosines of the line PQ are
EASY
JEE Advanced
IMPORTANT
VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 6 - Angle Between Two Lines>EXERCISE>Q 11
If the direction cosines of a line are 1c, 1c, 1c, then
MEDIUM
JEE Advanced
IMPORTANT
VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 6 - Angle Between Two Lines>EXERCISE>Q 12
A line making angles 45∘ and 60∘ with the positive direction of the x and y-axes respectively, makes with the positive direction of z-axis an angle of
EASY
JEE Advanced
IMPORTANT
VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 6 - Angle Between Two Lines>EXERCISE>Q 13
The angle formed between a line with direction ratio 2:2:1 and a line joining (3,1,4) to (7,2,12) is
EASY
JEE Advanced
IMPORTANT
VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 6 - Angle Between Two Lines>EXERCISE>Q 14
The direction cosines of a line equally inclined to the positive directions of axes are