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|12 Videos

  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|4 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)Parallel to the z-axis (d)Perpendicular to the z-axis

Slope of a line parallel to X axis is

The slope of a line parallel to y-axis is equal to ………

Write equation of line PQ parallel to X-axis.

Write the equation of three lines that are (i) parallel to the X-axis (ii) parallel to the Y-axis

Find the values of k for which the line (k - 3) x - (4 - k^(2)) y +k^(2) - 7k + 6 = 0 is (a) Parallel to the x-axis, (b) Parallel to the y-axis, (c) Passing through the origin.

Find the equation of the line through (2,3) which is (i) parallel to the x-axis and (ii) parallel to the y-axis.

Find the acute angle between the straight lines (x-4)/(2)=(y)/(1)=(z+1)/(-2) and (x-1)/(4)=(y+1)/(-4)=(z-2)/(2) state whether they are parallel or perpendicular.

Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+""k""(x-2y""+""3)""=""0,""kepsiR , is a : (1) straight line parallel to x-axis. (2) straight line parallel to y-axis (3) circle of radius sqrt(2) (4) circle of radius sqrt(3)