Home
Class 11
PHYSICS
A vector hati + sqrt(3) hatj rotates ab...

A vector `hati + sqrt(3) hatj` rotates about its tail through an angle 60° in clockwise direction then the new vector is

A

`hat(i) + sqrt(3) hat(j)`

B

`3vec(i) - 4vec(j)`

C

`2hat(j)`

D

`2hat(i)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

A vector sqrt(3)hati + hatj rotates about its tail through an angle 30^(@) in clock wise direction then the new vector is

A vector 3i + 4j rotates about its tail through an angle 37° in anticlockwise direction then the new vector is

A line passing through the point A(3,0) makes 30^0 angle with the positive direction of x- axis . If this line is rotated through an angle of 15^0 in clockwise direction, find its equation in new position.

If the axes are rotated through an angle of 45^(@) in the clockwise direction, the coordinates of a point in the new systeme are (0,-2) then its original coordinates are

The line 3x - 4y + 7 = 0 is rotated through an angle pi/4 in the clockwise direction about the point (-1, 1) . The equation of the line in its new position is

If the axes are rotated through an angle of 30^@ in the anti clockwise direction, then coordinates of point (4,-2sqrt3) with respect to new axes are

A line through the point A(2, 0) which makes an angle of 30^0 with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15^0 . Find the equation of the straight line in the new position.

A vector of length l is turned through the angle theta about its tail. What is the change in the position vector of its head ?

A vector veca=thati+t^2hatj is rotated through a righat angle passing through the x-axis. What is the vector in its new position (tgt0)? (A) t^2hati-thatj (B) sqrt(t)hati-1/sqrt(t)hatj (C) -t^2hati+thatj (D) (t^2hati-thatj)/(tsqrt(t^2+1)

A plane is parallel to the vectors hati+hatj+hatk and 2hatk and another plane is parallel to the vectors hati+hatj and hati-hatk . The acute angle between the line of intersection of the two planes and the vector hati-hatj+hatk is