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Write the Distance of the Point P (X, Y, Z) from Xoy Plane. - Mathematics

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प्रश्न

Write the distance of the point P (xyz) from XOY plane.

बेरीज
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उत्तर

The distance of the point P (x, y, z) from the XOY plane is |z|.

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पाठ 27: Direction Cosines and Direction Ratios - Very Short Answers [पृष्ठ २५]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 27 Direction Cosines and Direction Ratios
Very Short Answers | Q 13 | पृष्ठ २५

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Show that the points (2, 3, 4), (−1, −2, 1), (5, 8, 7) are collinear.


If l1m1n1 and l2m2n2 are the direction cosines of two mutually perpendicular lines, show that the direction cosines of the line perpendicular to both of these are m1n2 − m2n1n1l2 − n2l1l1m2 ­− l2m1.


If a line makes angles of 90°, 60° and 30° with the positive direction of xy, and z-axis respectively, find its direction cosines


If a line has direction ratios 2, −1, −2, determine its direction cosines.


Find the direction cosines of the line passing through two points (−2, 4, −5) and (1, 2, 3) .


Find the angle between the vectors whose direction cosines are proportional to 2, 3, −6 and 3, −4, 5.


Show that the line through points (4, 7, 8) and (2, 3, 4) is parallel to the line through the points (−1, −2, 1) and (1, 2, 5).


Find the angle between the lines whose direction cosines are given by the equations

2l − m + 2n = 0 and mn + nl + lm = 0


A line makes an angle of 60° with each of X-axis and Y-axis. Find the acute angle made by the line with Z-axis.


If a line makes angles α, β and γ with the coordinate axes, find the value of cos2α + cos2β + cos2γ.


Write the angle between the lines whose direction ratios are proportional to 1, −2, 1 and 4, 3, 2.


Write the coordinates of the projection of the point P (2, −3, 5) on Y-axis.


For every point P (xyz) on the x-axis (except the origin),


The xy-plane divides the line joining the points (−1, 3, 4) and (2, −5, 6)


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The angle between the two diagonals of a cube is


 

 


If a line makes angles α, β, γ, δ with four diagonals of a cube, then cos2 α + cos2 β + cos2γ + cos2 δ is equal to


The direction ratios of the line which is perpendicular to the lines with direction ratios –1, 2, 2 and 0, 2, 1 are _______.


Find the direction cosines of the line joining the points P(4,3,-5) and Q(-2,1,-8) . 


Verify whether the following ratios are direction cosines of some vector or not

`1/sqrt(2), 1/2, 1/2`


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Choose the correct alternative:
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Find the direction cosines of the line passing through the points P(2, 3, 5) and Q(–1, 2, 4).


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If α, β, γ are the angles that a line makes with the positive direction of x, y, z axis, respectively, then the direction cosines of the line are ______.


If a line makes angles α, β, γ with the positive directions of the coordinate axes, then the value of sin2α + sin2β + sin2γ is ______.


If a variable line in two adjacent positions has direction cosines l, m, n and l + δl, m + δm, n + δn, show that the small angle δθ between the two positions is given by δθ2 = δl2 + δm2 + δn


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


If a line has the direction ratio – 18, 12, – 4, then what are its direction cosine.


The d.c's of a line whose direction ratios are 2, 3, –6, are ______.


Equation of line passing through origin and making 30°, 60° and 90° with x, y, z axes respectively, is ______.


Find the coordinates of the foot of the perpendicular drawn from point (5, 7, 3) to the line `(x - 15)/3 = (y - 29)/8 = (z - 5)/-5`.


If a line makes an angle α, β and γ with positive direction of the coordinate axes, then the value of sin2α + sin2β + sin2γ will be ______.


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