Three Dimensional Geometry
Find the distance between the planes x+2y+3z+7=0 and 2x+4y+6z+7=0.
The direction cosines l, m, n of two lines are connected by the relations l + m + n = 0, lm = 0, then the angle between them is:
Find the vector equation of line passing through the point (1,2,−4) and perpendicular to the two lines: 3x−8=−16y+19=7z−10and3x−15=8y−29=−5z−5
The line joining the points (−2,1,−8)and(a,b,c) is parallel to the line whose direction ratios are 6,2,and3. Find the values of a,bandc
The distance of the point (1, -2, 3) from the plane x−y+z=5 measured parallel to the line x2=y3=z−1−6 is
The direction ratios of a normal to the plane through (1,0,0)and(0,1,0) , which makes and angle of 4π with the plane x+y=3, are a. ⟨1,2,1⟩ b. ⟨1,1,2⟩ c. ⟨1,1,2⟩ d. ⟨2,1,1⟩