Write direction cosines of a line parallel to z-axis. - Vidyadip

Question

Write direction cosines of a line parallel to z-axis.

✓

Answer

A line parallel to z-axis, makes an angle of 90°, 90° and 0° with the x, y, and z axes, respectively.
Thus, the direction cosines are given by
$\text{l}=\cos90^\circ=0$
$\text{m}=\cos90^\circ=0$
$\text{n}=\cos0^\circ=1$
Therefore, direction cosines of a line parallel to the z-axis 0, 0, 1.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Direction Cosines and Direction Ratios→Direction Cosines and Direction Ratios — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Write the probability that a number selected at random from the set of first 100 natural numbers is a cube.

Find the angle between the lines $\vec{\text{r}}=\big(2\hat{\text{i}}-5\hat{\text{j}}+\hat{\text{k}}\big)+\lambda\big(3\hat{\text{i}}+2\hat{\text{j}}+6\hat{\text{k}}\big)$ and $\vec{\text{r}}=7\hat{\text{i}}-6\hat{\text{k}}+\mu\big(\hat{\text{i}}+2\hat{\text{j}}+2\hat{\text{k}}\big).$

A matrix $X$ has $a + b$ rows and $a + 2$ columns while the matrix $Y$ has $b + 1$ rows and $a + 3$ columns. Both matrices $XY$ and $YX$ exist. Find $a$ and $b.$ Can you say $XY$ and $YX$ are of the same type$?$ Are they equal.

Differentiate the following w.r.t.x:$\sqrt{\text{e}^\sqrt{\text{x}}},\ \text{x}>0$

For any two vectore $\vec{\text{a}}$ and $\vec{\text{b}}$, show that $\big(\vec{\text{a}}+\vec{\text{b}}\big).\big(\vec{\text{a}}-\vec{\text{b}}\big)=0\Leftrightarrow|\vec{\text{a}}|=\big|\vec{\text{b}}\big|.$

Find the length of the perpendicular drawn from the origin to the plane $2x − 3y + 6z + 21 = 0$.

If A is an invertible matrix such that $|A^{-1}| = 2$, find the value of $|A|$.

Find the magnitude of two vectors $\vec a$ and $\vec b$, having the same magnitude and such that the angle between them is $60^\circ$ and their scalar product is $\frac{1}{2}$.

Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$2\frac{\text{d}^2\text{y}}{\text{dx}^2}+3\sqrt{1-\Big(\frac{\text{dy}}{\text{dx}}\Big)^2-\text{y}}=0$

Let '*' be a binary operation on N defined by a * b = 1.c.m. (a, b) for all $\text{a, b}\in\text{N}$
Find 2 * 4, 3 * 5, 1 * 6.