हिंदी

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

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प्रश्न

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

योग
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उत्तर

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

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अध्याय 26: Direction Cosines and Direction Ratios - Very Short Answers [पृष्ठ २५]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 26 Direction Cosines and Direction Ratios
Very Short Answers | Q 13 | पृष्ठ २५

संबंधित प्रश्न

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


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Find the acute angle between the lines whose direction ratios are proportional to 2 : 3 : 6 and 1 : 2 : 2.


Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, −1) and (4, 3, −1).


Find the direction cosines of the lines, connected by the relations: l + m +n = 0 and 2lm + 2ln − mn= 0.


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

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What are the direction cosines of Z-axis?


Write the distances of the point (7, −2, 3) from XYYZ and XZ-planes.


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.


Find the distance of the point (2, 3, 4) from the x-axis.


If a line has direction ratios proportional to 2, −1, −2, then what are its direction consines?


If a unit vector  `vec a` makes an angle \[\frac{\pi}{3} \text{ with } \hat{i} , \frac{\pi}{4} \text{ with }  \hat{j}\] and an acute angle θ with \[\hat{ k} \] ,then find the value of θ.


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A rectangular parallelopiped is formed by planes drawn through the points (5, 7, 9) and (2, 3, 7) parallel to the coordinate planes. The length of an edge of this rectangular parallelopiped is


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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 ______.


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If a line makes angles of 90°, 135° and 45° with the x, y and z axes respectively, then its direction cosines are ______.


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Which proportion correctly expresses the relationship between direction ratios \[(a,b,c)\] and direction cosines \[(l,m,n)\]?


For points \[P(x_1,y_1,z_1)\] and \[Q(x_2,y_2,z_2)\], which expression gives \[PQ\]?


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