Three Dimensional Geometry
Find the vector equation of a plane passing through the point (1,2,3) and parallel to the lines whose direction ratios are 1,−1,−2 and −1,0,2.
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What are the direction ratios of the line determined by the planes x−y+2z=1 andx+y−z=3?
A line makes angles θ,ϕ and ψ with x, y, z axes respectively. Consider the following1.sin2θ+sin2ϕ=cos2ψ2. cos2θ+cos2ϕ=sin2ψ3.sin2θ+cos2ϕ=cos2ψWhich of the above is/are correct?
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from the x-axis.
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atg a distance 414
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is equally inclined to iandk˙
Also find the angle it makes with j˙
The equation of the plane which passes through the line of intersection of planes r⃗ .n⃗ 1=q1,r⃗ .n⃗ 2=q And is parallel to the line of intersection of planes r⃗ .n⃗ 3=q3 and r⃗ .n⃗ 4=q4is