Home
Class 12
MATHS
If the unit vectors e(1) and e(2) arke i...

If the unit vectors `e_(1) and e_(2)` arke inclined at an angle `2theta and |e_(1)-e_(2)| lt 1`, the for `theta in [0,pi], theta` may lie in the interval

A

`[0,pi/2)`

B

`((5pi)/6,pi]`

C

`(pi/6,pi/2]`

D

`[pi/2,(5pi)/6)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If unit vectors veca and vecb are inclined at an angle 2 theta such that |veca - vecb| lt 1 and 0 le theta le pi , then theta lies in the interval

If hat a and hatb are two unit vectors inclined at an angle theta , then sin(theta/2)

Prove that sin theta< theta< tan theta for theta in (0,pi/2) .

If veca and vecb are unit vectors inclined at an angle theta then prove that cos(theta/2) = 1/2|veca +vecb|

Let f(theta) =int_(0)^(1) (x+ sin theta )^(2) dx and g(theta)=int_(0)^(1)(x+ cos theta )^(2) dx where theta in [0,2 pi] . The quantity f (theta) -g(theta), AA theta in the interval given in column I, is

What is resultant of two vectors inclined at an angle theta . Discuss when theta=0,pi and pi/2 radian.

Solve sin^(2) theta-cos theta=1/4, 0 le theta le 2pi .

If 5 cos 2 theta +2 cos^2 (theta/2)+1=0 , when (0 ltthetalt pi) , then the values of theta are :

If E and F are independent events such that 0ltP(E)lt1 and 0ltP(F)lt1, then

Evaluate int_(0)^(pi//2) cos theta tan ^(-1) ( sin theta)d theta .