The direction cosines of any normal to the xy-plane are
Show Hint
- 1, 0, 0
- 0, 1, 0
- 1, 1, 0
- 0, 0, 1
The Correct Option is D
Solution and Explanation
xy-plane has equation \(z = 0\).
Step 2: Detailed Explanation:
Normal to xy-plane is along z-axis. Direction cosines of z-axis are \((0, 0, 1)\).
Step 3: Final Answer:
0, 0, 1.
Top MET Mathematics Questions
- If \(f(x) = \begin{cases} x, & 0 \le x \le 1 \\ 2x - 1, & 1<x \end{cases}\), then
- MET - 2019
- Mathematics
- Continuity
- The adjoining graph
- MET - 2019
- Mathematics
- Graph Theory
- The remainder obtained when \(5^{124}\) is divided by 124 is
- MET - 2019
- Mathematics
- Number Theory
- If \(I_n = \int \sin^n x dx\), then \(nI_n - (n - 1)I_{n-2}\) equals
- MET - 2019
- Mathematics
- Integral Calculus
- If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8, then the eccentricity is
Top MET 3D Geometry Questions
- If \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are non-collinear vectors such that for some scalars \(x, y, z\), \(x\mathbf{a} + y\mathbf{b} + z\mathbf{c} = \mathbf{0}\), then
- MET - 2019
- Mathematics
- 3D Geometry
- A perpendicular is drawn from the point P(2, 4, -1) to the line \(\frac{x + 5}{1} = \frac{y + 3}{4} = \frac{z - 6}{-9}\). The equation of the perpendicular from P to the given line is
- MET - 2019
- Mathematics
- 3D Geometry
- If \(\mathbf{a} = -\hat{\mathbf{i}} + 2\hat{\mathbf{j}} - \hat{\mathbf{k}}\), \(\mathbf{b} = \hat{\mathbf{i}} + \hat{\mathbf{j}} - 3\hat{\mathbf{k}}\) and \(\mathbf{c} = -4\hat{\mathbf{i}} - \hat{\mathbf{k}}\), then \(\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) + (\mathbf{a} \cdot \mathbf{b})\mathbf{c}\) is
- MET - 2019
- Mathematics
- 3D Geometry
- If P(3,4,5), Q(4,6,3), R(-1,2,4), S(1,0,5), then the projection of RS on PQ is
- MET - 2019
- Mathematics
- 3D Geometry
- If a line makes \(\alpha, \beta, \gamma\) with the positive direction of x, y and z-axes respectively. Then, \(\cos^2\alpha + \cos^2\beta + \cos^2\gamma\) is equal to
- MET - 2019
- Mathematics
- 3D Geometry
Top MET Questions
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- MET - 2020
- Photoelectric Effect
- If \(f(x) = \begin{cases} x, & 0 \le x \le 1 \\ 2x - 1, & 1<x \end{cases}\), then
- MET - 2019
- Continuity
Helicopters are very different from airplanes. They can do three things that airplanes cannot do. First, when airplanes move upward, they must also move forward, but helicopters can move straight up without moving ahead. Second, helicopters can fly backward, which airplanes cannot do. Third, helicopters can use their rotors to hover in the air, which is impossible for airplanes. Helicopters can perform actions that airplanes cannot, they are used for different tasks. Since, helicopters can take off without moving forward, they do not need a runway for take off. They are used in congested areas where there is no room for airplanes or in isolated areas, which do not have airports. Because they can hover, they are used on firefighting missions to drop water on fires. They are used in logging operations to lift trees out of forests. Helicopters are used as air ambulances to airlift patients out of situations, which are difficult to reach by conventional ambulances. The police used helicopters to follow suspects on the ground or to search for cars on the ground. Of course, helicopters have military uses because of their design and capabilities.
- MET - 2019
- Reading Comprehension
- Find the missing character.
- MET - 2019
- Number Patterns
- 6, 9, 12, 15, 18, ?
- MET - 2019
- Number Patterns