मराठी

Write the Coordinates of the Projection of the Point P (2, −3, 5) on Y-axis. - Mathematics

Advertisements
Advertisements

प्रश्न

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

बेरीज

उत्तर

The coordinates of the projection of the point P ( 2, -3, 5) on the y-axis are ( 0, -3, 0) as both X and coordinates of each point on the y-axis are equal to zero.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 27: Direction Cosines and Direction Ratios - Very Short Answers [पृष्ठ २५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
पाठ 27 Direction Cosines and Direction Ratios
Very Short Answers | Q 15 | पृष्ठ २५

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Find the direction cosines of the line 

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


If a line has the direction ratios −18, 12, −4, then what are its direction cosines?


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 sides of the triangle whose vertices are (3, 5, −4), (−1, 1, 2) and (−5, −5, −2).


Find the angle between the vectors with direction ratios proportional to 1, −2, 1 and 4, 3, 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 angle between the lines whose direction cosines are given by the equations

2l − m + 2n = 0 and mn + nl + lm = 0


What are the direction cosines of Z-axis?


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?


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


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


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


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


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


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


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


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

`1/5, 3/5, 4/5`


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

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


If `1/2, 1/sqrt(2), "a"` are the direction cosines of some vector, then find a


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 ______.


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 ______.


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


The area of the quadrilateral ABCD, where A(0,4,1), B(2, 3, –1), C(4, 5, 0) and D(2, 6, 2), is equal to ______.


The direction cosines of vector `(2hat"i" + 2hat"j" - hat"k")` are ______.


What will be the value of 'P' so that the lines `(1 - x)/3 = (7y - 14)/(2P) = (z - 3)/2` and `(7 - 7x)/(3P) = (y - 5)/1 = (6 - z)/5` at right angles.


The Cartesian equation of a line AB is: `(2x - 1)/2 = (y + 2)/2 = (z - 3)/3`. Find the direction cosines of a line parallel to line AB.


A line passes through the points (6, –7, –1) and (2, –3, 1). The direction cosines of the line so directed that the angle made by it with positive direction of x-axis is acute, are ______.


If two straight lines whose direction cosines are given by the relations l + m – n = 0, 3l2 + m2 + cnl = 0 are parallel, then the positive value of c 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`.


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.


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×