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

A

(A) Parallel to x-axis

B

(B) Parallel to the y-axis

C

(C) Parallel to the z-axis

D

(D) Perpendicular to the z-axis

Text Solution

Verified by Experts

The correct Answer is:
(D) Perpendicular to the z-axis

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 PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 3.3|19 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 3.4|5 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 3.1|12 Videos
  • THREE DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise All Questions|291 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|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

If the line (x-x_(1))/(a)=(y-y_(1))/(b)=(z-z_(1))/(c) is parallel to z-axis then-

If the straight line (x-11)/3=(y-2)/m=(z+3)/-2 is parallel to the plane x-3y+6z+7 = 0 then value of m is

The slope of the x- axis or of a line parallel to x-axis is

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

The straight line 2x-3y+5=0 intersects the x -axis and 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.

The equation of a plane parallel to z-axis is

The gradient of y-axis or of a line parallel to y- axis is -

The axis of the parabola (x -1)^(2) = 5( y +2) is parallel to _