Home
Class 12
MATHS
A line O P through origin O is inclined ...

A line `O P` through origin `O` is inclined at `30^0a n d45^0toO Xa n dO Y ,` respectivley. Then find the angle at which it is inclined to `O Zdot`

Text Solution

Verified by Experts

The correct Answer is:
`r=|r|(pm(1)/(sqrt(3))hat(i)pm(1)/(sqrt(3))hat(j)pm(1)/(sqrt(3))hat(k))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

A straight line through the origin O meets the parallel lines 4x + 2y = 9 and 2x + y+ 6=0 at points P and Q respectively. Then the point O divides the segment PQ in the ratio :

A straight line drawn through the point P(2,3) and is incline at an angle of 30^0 with the x-axis. Find the coordinates of two points on it a distance 4 from P on either side of Pdot

The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A triangle A P Q is inscribed in triangle O A B ,O being the origin, with right angle at QdotP and Q lie, respectively, on O Ba n dA B . If the area of triangle A P Q is 3/8t h of the are of triangle O A B , the (A Q)/(B Q) is equal to 2 (b) 2/3 (c) 1/3 (d) 3

O is the origin and A is (a,b,c). Find the d.c. of OA and the equation of the plane through A at right angles of OA.

In the fig. triangle PQO with coordinates of P and O as (3,0) and (0,0) respectively, PQ=5. Find the coordinates of Q.

If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the values of a for which the line 5x+b y-a=0 passes through Pa n dQdot

The line through (4, 3) and (- 6,0) intersects the line 5x + y = 0. Find the angles of intersection.

A variable line L drawn through O(0,0) to meet line l1: y-x-10=0 and L2:y-x-20=0 at the point A and B respectively then locus of point p is ' such that (OP)^(2) = OA . OB,

An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci, and /_F B F ' a right angle. Then, find the eccentricity of the ellipse.

Let L_1=0a n dL_2=0 be two fixed lines. A variable line is drawn through the origin to cut the two lines at R and SdotPdot is a point on the line A B such that ((m+n))/(O P)=m/(O R)+n/(O S)dot Show that the locus of P is a straight line passing through the point of intersection of the given lines R , S , R are on the same side of O)dot