Home
Class 12
MATHS
The straight line (x-3)/3=(y-2)/1=(z-1)/...

The straight line `(x-3)/3=(y-2)/1=(z-1)/0` is Parallel to x-axis Parallel to the y-axis Parallel to the z-axis Perpendicular to the z-axis

Text Solution

Verified by Experts

The line is along the vector `3hati+hatj` which is perpendicular to the z-axis as `(3hati+hatj)*hatk=0`.
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise 3.3|19 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise 3.4|5 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise 3.1|12 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|20 Videos

  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|34 Videos

Similar Questions

Explore conceptually related problems

The straight line (x-3)/(3)=(y-2)/(1)=(z-1)/(0) is (a)Parallel to x-axis (b)Parallel to the y-axis (c) Prallel to the z-axis (d)Perpendicular to the z-axis

If the straight line (3x+4y+5)+k(x+2y-3)=4 is parallel to x-axis then k=

The line x=x_1,y=y_1 is (A) parallel to x-axis (B) parallel to y-axis (C) parallel to z-axis (D) parallel to XOY plane

Equations of Lines Parallel to the X-axis and Y-axis

The line (x-x_1)/0=(y-y_1)/1=(z-z_1)/2 is (A) parallel to x-axis (B) perpendicular to x-axis (C) perpendiculat to YOZ plane (D) parallel to y-axis

The line x=1,y=2 is (A) parallel to x-axis (B) parallel to y-axis (C) parallel to z-axis (D) ies in a plane parallelto xy-plane.

Find the equation of a line passing through the point of intersection of the lines 4x+3y-1=0 and x+2y+3=0 and (i) parallel to X -axis. (ii) parallel to Y -axis. parallel to line 2x+y-1=0 . (iv) perpendicular to line 3x-y+1=0 .

A straight line with direction cosines (0,1,0) is (a) parallel to x -axis (b) parallel to yaxis (c) parallel to z-axis (d) equally inclined to all the axes

Find the equation of the straight line which passes through the point (2,-3) and is (i) parallel to the X-axis , perpendicular to the X - axis