Home
Class 11
PHYSICS
Shown in the figure the orientation of t...

Shown in the figure the orientation of two vectors `vecu`and `vecv` in the xy plane
if `vecu = ahati+bhatj` and
`vecv= phati+qhatj`
which of the following is correct?

A

a and p are positive while b and q are negetive .

B

a,p and b are positive while q is negetive.

C

a,q and b are positive while q is negetive.

D

a,b,p and q are all positive.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Refer to the plot of temperature versus time (shown in the figure) showing the changes in the state of ice on heating (not to scale). Which of the following is correct?

Figure shows electric field lines in which an electric dipole P is placed as shown. Which of the following statements is correct?

Two beakers of capcatity 500 mL were taken one of these beakers labelled as "A" was filled with 400 mL water whereas the beaker labelled "B" was filled with 400 mL of 2 M solution of NaCl. At the same temperature both the beakers were placed in close containers of same material and same capacity as shown in the figure given below: At a given temperature, whihc of the following statement is correct about the vapour pressure of pure water and that of NaCl solution.

A liquid mixture ohaving composition corresponding to point Z in the figure shown is subjected to distillation at constant pressure. Which of the following statements is correct about the process?

A metal bar AB can slide on two parallel thick metallic rails separated by a distance l. A resistance R and an inductance L are connected to the rails as shown in the figure. A long straight wire carrying a constant current I_(0) is placed in the plane of the rails and perpendicular to them as shown. The bar AB is held at rest at a distance x_(0) from the long wire. At t=0, it is made to slide on the rails away from wire. Answer the following questions. Find a relation among i, (di)/(dt) and (d phi)/(dt) , where i is the current in the circuit and phi is the flux of the megnetic field due to the long wire through the circuit.

Boiling point composition diagram of the liqid-vapour equilibrium for A and B is shown in the figure. If a binary liquid mixture of A and B is distilled fractionally, which of the following would be correct observation ?

If vecu and vecv are unit vectors and theta is the acute angle between them, then 2 vecu xx 3vecv is a unit vector for

Motion in two dimensions, in a plane can be studied by expressing position, velocity and acceleration as vector in Cartesian co-ordinates vecA=A_(x) hati+A_(y) hatj where hati and hatj are unit vectors along x and y directions. respectively and A_(x) and A_(y) are corresponding components of vecA (shown in the figure).Motion can also be studied by expressing vector in circular polar co-ordinates as vecA=A_(r) hatr+A_(theta) hattheta where hatr = vecr/r =costheta hati+sintheta hatj and hattheta=-sintheta hati+costheta hatj are unit vectors along dirction in which 'r' and 'theta' are increasing. Express hati and hatj in terms of hatr and hattheta .

Motion in two dimensions, in a plane can be studied by expressing position, velocity and acceleration as vector in Cartesian co-ordinates vecA=A_(x) hati+A_(y) hatj where hati and hatj are unit vectors along x and y directions. respectively and A_(x) and A_(y) are corresponding components of vecA (shown in the figure).Motion can also be studied by expressing vector in circular polar co-ordinates as vecA=A_(r) hatr+A_(theta) hattheta where hatr = vecr/r =costheta hati+sintheta hatj and hattheta=-sintheta hati+costheta hatj are unit vectors along dirction in which 'r' and 'theta' are increasing. Show that d/dt (hatr)=omega hattheta where omega=(d theta)/(dt) and d/dt (hattheta)=-omegahatr .