हिंदी

Write the Distances of the Point (7, −2, 3) from Xy, Yz and Xz-planes.

Advertisements
Advertisements

प्रश्न

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

टिप्पणी लिखिए
योग
Advertisements

उत्तर

The distance of a general point P (x, y, z) from XYplane is z.

Thus, distance of (7, 2, 3) from XYplane is 3.

Similarly, the distance of P (x, y, z) from YZplane is x.

Thus, distance of (7, 2, 3) from YZ plane is 7.

The distance of P (x, y, z) from XZplane is y.

Thus, distance of (7, 2, 3) from XZplane is 2 .

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 26: Direction Cosines and Direction Ratios - Very Short Answers [पृष्ठ २४]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 26 Direction Cosines and Direction Ratios
Very Short Answers | Q 5 | पृष्ठ २४

संबंधित प्रश्न

Find the direction cosines of the line 

`(x+2)/2=(2y-5)/3; z=-1`


Which of the following represents direction cosines of the line :

(a)`0,1/sqrt2,1/2`

(b)`0,-sqrt3/2,1/sqrt2`

(c)`0,sqrt3/2,1/2`

(d)`1/2,1/2,1/2`


Write the direction ratios of the following line :

`x = −3, (y−4)/3 =( 2 −z)/1`


If a line makes angles 90°, 135°, 45° with the X, Y, and Z axes respectively, then its direction cosines are _______.

(A) `0,1/sqrt2,-1/sqrt2`

(B) `0,-1/sqrt2,-1/sqrt2`

(C) `1,1/sqrt2,1/sqrt2`

(D) `0,-1/sqrt2,1/sqrt2`


Find the direction cosines of a line which makes equal angles with the coordinate axes.


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.


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


Using direction ratios show that the points A (2, 3, −4), B (1, −2, 3) and C (3, 8, −11) are collinear.


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


Show that the line through the points (1, −1, 2) and (3, 4, −2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).


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 angle between the lines whose direction ratios are proportional to abc and b − cc − aa− b.


If the coordinates of the points ABCD are (1, 2, 3), (4, 5, 7), (−4, 3, −6) and (2, 9, 2), then find the angle between AB and CD.


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

 l + 2m + 3n = 0 and 3lm − 4ln + mn = 0


Define direction cosines of a directed line.


Write the coordinates of the projection of point P (xyz) on XOZ-plane.


Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
Write the distance of a point P(abc) from x-axis.


If the x-coordinate of a point P on the join of Q (2, 2, 1) and R (5, 1, −2) is 4, then its z-coordinate is


Ratio in which the xy-plane divides the join of (1, 2, 3) and (4, 2, 1) is


If O is the origin, OP = 3 with direction ratios proportional to −1, 2, −2 then the coordinates of P are


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 _______.


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

`4/3, 0, 3/4`


Find the direction cosines of a vector whose direction ratios are
0, 0, 7


Find the direction cosines and direction ratios for the following vector

`hat"j"`


A triangle is formed by joining the points (1, 0, 0), (0, 1, 0) and (0, 0, 1). Find the direction cosines of the medians


If a line makes an angle of 30°, 60°, 90° with the positive direction of x, y, z-axes, respectively, then find its direction cosines.


If a line makes angles `pi/2, 3/4 pi` and `pi/4` with x, y, z axis, respectively, then its direction cosines are ______.


If a line makes an angle of `pi/4` with each of y and z-axis, then the angle which it makes with x-axis is ______.


The line `vec"r" = 2hat"i" - 3hat"j" - hat"k" + lambda(hat"i" - hat"j" + 2hat"k")` lies in the plane `vec"r".(3hat"i" + hat"j" - hat"k") + 2` = 0.


Find the direction cosine of a line which makes equal angle with coordinate axes.


The projections of a vector on the three coordinate axis are 6, –3, 2 respectively. The direction cosines of the vector are ______.


Equation of a line passing through point (1, 2, 3) and equally inclined to the coordinate axis, is ______.


A line passes through \[P(x_1,y_1,z_1)\] and \[Q(x_2,y_2,z_2)\]. Which is one set of direction ratios of the line?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×