Question
If $\overrightarrow{\text{A}}\times\overrightarrow{\text{B}}=0,$ can you say that:

  1. $\overrightarrow{\text{A}}=\overrightarrow{\text{B}}$

  2. $\overrightarrow{\text{A}}\neq\overrightarrow{\text{B}}$

Answer

We can’t definitely say either of them is true because the two vectors can have different or same magnitudes but if they are parallel to each other their cross product is always zero.

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

Similar questions

What does the red shift in the spectrum of a galaxy indicate?
Balmer series was observed and analysed before the other series. Can you suggest a reason for such an order?
The pressure measured by a constant volume gas thermometer is 40kPa at the triple point of water. What will be the pressure measured at the boiling point of water (100°C)?
The short wavelength limit for the Lyman series of the hydrogen spectrum is 913·4 $\mathring{\text{A}}$ Calculate the short wavelength limit for Balmer series of the hydrogen spectrum.
A U- tube containing a liquid is accelerated horizontally with a constant acceleration a0. If the separation between the vertical limbs is 1, find the difference in the heights of the liquid in the two arms.
How does the energy stored in a capacitor change if the plates of a charged capacitor are moved farther, the battery remaining connected?
Can the dispersive power $\omega=\frac{\mu_\text{v}-\mu\text{r}}{\mu-1}$ be negative? What is the sign of co if a hollow prism is immersed into water?
The speed of a car as a function of time is shown in figure. Find the distance travelled by the car in 8 seconds and its acceleration.

Given a uniform electric field$\overrightarrow{\text{E}}$: 4 x 103 $\hat{i}$ N/C, find the flux of this field through a square of 5cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a $30^{\circ}$ angle with the x-axis?
A long wire is bent as shown in the figure. Find the magnitude and direction of magnetic field at center $O$ of the circular part when a current $i$ ampere flows through it.
Image