मराठी

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

Advertisements
Advertisements

प्रश्न

What are the direction cosines of Y-axis?

बेरीज
Advertisements

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 27: Direction Cosines and Direction Ratios - Very Short Answers [पृष्ठ २४]

APPEARS IN

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

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Find the direction cosines of the line 

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


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


If the lines `(x-1)/(-3) = (y -2)/(2k) = (z-3)/2 and (x-1)/(3k) = (y-1)/1 = (z -6)/(-5)` are perpendicular, find the value of k.


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.


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

2l − m + 2n = 0 and mn + nl + lm = 0


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


Write the distance of the point (3, −5, 12) from X-axis?


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


 Find the equation of the lines passing through the point (2, 1, 3) and perpendicular to the lines


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

`4/3, 0, 3/4`


Find the direction cosines and direction ratios for the following vector

`hat"j"`


Find the direction cosines and direction ratios for the following vector

`5hat"i" - 3hat"j" - 48hat"k"`


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, 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"`


Choose the correct alternative:
The unit vector parallel to the resultant of the vectors `hat"i" + hat"j" - hat"k"` and `hat"i" - 2hat"j" + hat"k"` is


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.


P is a point on the line segment joining the points (3, 2, –1) and (6, 2, –2). If x co-ordinate of P is 5, then its y co-ordinate is ______.


A line makes equal angles with co-ordinate axis. Direction cosines of this line 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 vector equation of the line passing through the points (3, 5, 4) and (5, 8, 11) is `vec"r" = 3hat"i" + 5hat"j" + 4hat"k" + lambda(2hat"i" + 3hat"j" + 7hat"k")`


O is the origin and A is (a, b, c). Find the direction cosines of the line OA and the equation of plane through A at right angle to OA.


If a line makes angles 90°, 135°, 45° with x, y and z-axis respectively then which of the following will be its direction cosine.


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


A line in the 3-dimensional space makes an angle θ `(0 < θ ≤ π/2)` with both the x and y axes. Then the set of all values of θ is the interval ______.


If the equation of a line is x = ay + b, z = cy + d, then find the direction ratios of the line and a point on the line.


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


Find the coordinates of the image of the point (1, 6, 3) with respect to the line `vecr = (hatj + 2hatk) + λ(hati + 2hatj + 3hatk)`; where 'λ' is a scalar. Also, find the distance of the image from the y – axis.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×