📐Chapter Practice
Vectors & 3D Geometry — JEE Practice
30 practice questions across 2 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.
2 Topics30 Questions
Vectors(15 Qs)
easy (5)
medium (5)
hard (5)
Q1The area of triangle with vertices A, B, C is:Q2Vector equation of a line through a⃗ and parallel to b⃗ is:Q3Distance of point P from plane r⃗·n̂ = d is:Q4The shortest distance between two skew lines r⃗=a⃗₁+λb⃗₁ and r⃗=a⃗₂+μb⃗₂ is:Q5Equation of plane through 3 points A, B, C: [r⃗-a⃗, b⃗-a⃗, c⃗-a⃗] = 0 represents:
3D Coordinate Geometry(15 Qs)
easy (5)
medium (5)
hard (5)
Q1The distance between parallel planes 2x+y-2z=5 and 2x+y-2z=8 is:Q2The foot of perpendicular from (1,1,1) to line (x-1)/2 = y/1 = (z+1)/3 is found by:Q3Equation of plane through line of intersection of P₁=0 and P₂=0:Q4Coplanarity condition for lines r⃗=a⃗₁+λb⃗₁, r⃗=a⃗₂+μb⃗₂:Q5The angle between a line with DR (a,b,c) and plane Ax+By+Cz=D is:
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