If a line makes angles $90^{\circ}, 135^{\circ}$ and $45^{\circ}$ with the positive $X, Y$ and $Z$ axis respectively,then its direction cosines are

  • A
    $\left(0, \frac{1}{2}, \frac{1}{\sqrt{2}}\right)$
  • B
    $\left(0, \frac{-1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$
  • C
    $\left(1, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$
  • D
    $\left(1, \frac{-1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$

Explore More

Similar Questions

If a line makes angles of $30^o$ and $45^o$ with $X-$ axis and $Y-$ axis,then the angle made by it with $Z-$ axis is

Difficult
View Solution

If a line makes angles $\frac{\pi}{3}$ and $\frac{\pi}{4}$ with the $X$-axis and $Y$-axis respectively,then the angle made by the line with the $Z$-axis is

Let $P(x, y, z)$ be a point in the first octant,whose projection in the $xy$-plane is the point $Q$. Let $OP = \gamma$; the angle between $OQ$ and the positive $x$-axis be $\theta$; and the angle between $OP$ and the positive $z$-axis be $\phi$,where $O$ is the origin. Then the distance of $P$ from the $x$-axis is:

Find the position vector of a point $A$ in space such that $\overrightarrow{OA}$ is inclined at $60^{\circ}$ to $OX$ and at $45^{\circ}$ to $OY$ and $|\overrightarrow{OA}|=10$ units.

Difficult
View Solution

$A$ line makes an angle of $45^{\circ}$ with the $x$-axis and congruent angles with the $y$ and $z$-axes. Then,the direction cosines of the line are:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo