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The distance of the line x-22= y-63= z-34 from the point (1,4,0) along the line x1= y-22= z+33 is :
(4) 14
"Along the line" means: move from (1,4,0) in the direction (1,2,3) until the first line is met.
Path (1+t,4+2t,3t) = line (2+2k,6+3k,3+4k) k=0, t=1: meeting point (2,6,3).
[figure]
Distance = 12+22+32= 14
Answer: (4)
Let L1: x-12= y-23= z-34 and L2: x-23= y-44= z-55 be two lines. Then which of the following points lies on the line of the shortest distance between L1 and L2 ?
Let L1: x-13= y-1-1= z+10 and L2: x-22= y0= z+4 , , be two lines, which intersect at the point B. If P is the foot of perpendicular from the point A(1,1,-1) on L2, then the value of 26 (PB)2 is .
Let a line pass through two distinct points P(-2,-1,3) and Q, and be parallel to the vector 3 i+2 j+2 k. If the distance of the point Q from the point R(1,3,3) is 5, then the square of the area of PQR is equal to :
The perpendicular distance, of the line x-12= y+2-1= z+32 from the point P(2,-10,1), is :