हिंदी

What Are the Direction Cosines of Y-axis? - Mathematics

Advertisements
Advertisements

प्रश्न

What are the direction cosines of Y-axis?

योग

उत्तर

\[ \text{ The y - axis makes angles 90°, 0° and 90° with x, y and z axes, respectively } . \]

\[\text{ Therefore, the direction cosines of y - axis are cos 90°, cos 0°, cos 90° , i . e  }. 0, 1, 0 .\]

 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 27: Direction Cosines and Direction Ratios - Very Short Answers [पृष्ठ २४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
अध्याय 27 Direction Cosines and Direction Ratios
Very Short Answers | Q 3 | पृष्ठ २४

संबंधित प्रश्न

Find the direction cosines of the line perpendicular to the lines whose direction ratios are -2, 1,-1 and -3, - 4, 1 


Direction cosines of the line passing through the points A (- 4, 2, 3) and B (1, 3, -2) are.........


If l, m, n are the direction cosines of a line, then prove that l2 + m2 + n2 = 1. Hence find the
direction angle of the line with the X axis which makes direction angles of 135° and 45° with Y and Z axes respectively.


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 angle between the lines whose direction ratios are 4, –3, 5 and 3, 4, 5.


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


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


Find the vector equation of the plane passing through (1, 2, 3) and perpendicular to the plane `vecr.(hati + 2hatj -5hatk) + 9 = 0`


What are the direction cosines of X-axis?


What are the direction cosines of Z-axis?


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


Write the inclination of a line with Z-axis, if its direction ratios are proportional to 0, 1, −1.


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


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


Write direction cosines of a line parallel to z-axis.


For every point P (xyz) on the xy-plane,

 


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


The distance of the point P (abc) from the x-axis is 


If P (3, 2, −4), Q (5, 4, −6) and R (9, 8, −10) are collinear, then R divides PQ in the ratio


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


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

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


Find the direction cosines and direction ratios for the following vector

`3hat"i" - 4hat"j" + 8hat"k"`


Find the direction cosines and direction ratios for the following vector

`hat"j"`


Find the direction cosines and direction ratios for the following vector

`hat"i" - hat"k"`


If (a, a + b, a + b + c) is one set of direction ratios of the line joining (1, 0, 0) and (0, 1, 0), then find a set of values of a, b, c


If `vec"a" = 2hat"i" + 3hat"j" - 4hat"k", vec"b" = 3hat"i" - 4hat"j" - 5hat"k"`, and `vec"c" = -3hat"i" + 2hat"j" + 3hat"k"`,  find the magnitude and direction cosines of `vec"a", vec"b", vec"c"`


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


Find the equations of the two lines through the origin which intersect the line `(x - 3)/2 = (y - 3)/1 = z/1` at angles of `pi/3` each.


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


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.


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×