Advertisements
Advertisements
प्रश्न
Find the distance from (4, −2, 6) to the XZ- plane
उत्तर
The distance from (4, −2, 6) to the XZ-plane is |y| = `sqrt((-2)^2)`
= 2 units
संबंधित प्रश्न
If `bar("AB") = 2hat"i" + hat"j" - 3hat"k"`, and A(1, 2 ,−1) is given point then coordinates of B are ______.
D and E divides sides BC and CA of a triangle ABC in the ratio 2 : 3 respectively. Find the position vector of the point of intersection of AD and BE and the ratio in which this point divides AD and BE.
The co-ordinates of the foot of perpendicular drawn from origin to the plane 2x - y + 5z - 3 = 0 are ______.
If `bar"a", bar"b", bar"c"` are the three non-coplanar vectors and `bar"p", bar"q", bar"r"` are defined by the relations `bar"p" = (bar"b" xx bar"c")/([(bar"a", bar"b", bar"c")]), bar"q" = (bar"c" xx bar"a")/([(bar"a", bar"b", bar"c")]), bar"r" = (bar"a" xx bar"b")/([(bar"a", bar"b", bar"c")])` then `(bar"a" + bar"b")* bar"p" + (bar"b" + bar"c") * bar"q" + (bar"c" + bar"a") * bar"r"` = ______.
The co-ordinates of a point on the line x = 4y + 5, z = 3y – 6 at a distance `3sqrt(26)` from the point (5, 0, –6) are ______.
If P1 and P2 are the lengths of the perpendiculars from the points (2, 3, 4) and (1, 1, 4) respectively from the plane 3x – 6y + 2z + 11 = 0, then P1 and P2 are the roots of the equation ______.
The equation of set points P such that PA2 + PB2 = 2K2, where A and B are the points (3, 4, 5) and (–1, 3, –7), respectively is ______.
The foot of the perpendicular drawn from the origin to a plane is the point (1, –3, 1). What is the intercept cut on the x-axis by the plane?
Three vertices of a parallelogram ABCD are A ( 3, –1, 2), B (1, 2, –4) and C (–1, 1, 2). The coordinates of fourth vertex D are ______.
The equation of the plane containing the line `(x + 1)/(-3) = (y - 3)/2 = (z + 2)/1` and the point (0, 7, –7), is ______.
The co-ordinates of the foot of perpendicular from the point A (1, 1, 1) on the line joining the points B (1, 4, 6) and C (5, 4, 4) are ______.
The distance of the point (1, –2, 3) from the plane x – y + z = 5 measured parallel to the line `x/2 = y/3 = (z - 1)/(-6)` is ______.
If the distance of points `2hati + 3hatj + λhatk` from the plane `r.(3hati + 2hatj + 6hatk)` = 13 is 5 units, then λ = ______.
The equation of the plane passing through the points (1, 2, 3), (–1, 4, 2) and (3, 1, 1) is ______.
A line makes angles α, β, γ with the positive directions of coordinate axes, then find the value of sin2α + sin2β + sin2γ.