Q29 of 49 Page 235

Distance of the point (α, β, γ) from y-axis is

If we draw a perpendicular from (α, β, γ) to y-axis, the foot of the perpendicular will have the coordinates (0, β, 0)


Also, by distance formula, we have distance between two points


A(x1, y1, z1) and B(x2, y2, z2) is



⇒ Required distance

More from this chapter

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27

Show that the straight lines whose direction cosines are given by 2l + 2m – n = 0 and mn + nl + lm = 0 are at right angles.

 28

If l1, m1, n1; l2, m2, n2; l3, m3, n3 are the direction cosines of three mutually perpendicular lines, prove that the line whose direction cosines are proportional to l1 + l2 + l3, m1 + m2 + m3, n1 + n2 + n3 makes equal angles with them.

 30

If the directions cosines of a line are k,k,k, then

 31

The distance of the plane from the origin is